WikiRhymer has about 2,000 rhyming words and phrases for "trap" starting with...

app
    cap
      chap
        clap
          crap
            flap
              gap
                hap
                  happ
                    jap
                      lap
                        map
                          nap
                            pap
                              rap
                                rappe
                                  sap
                                    scrap
                                      shap
                                        slap
                                          snap
                                            strap
                                              tap
                                                trappe
                                                  wrap
                                                    yap
                                                      yapp
                                                        zap
                                                          entrap
                                                            recap
                                                              unwrap
                                                                Capp
                                                                  Clapp
                                                                    FRAP
                                                                      Kapp
                                                                        Klapp
                                                                          Knapp
                                                                            Lapp
                                                                              Papp
                                                                                Rapp
                                                                                  Schnapp
                                                                                    Snapp
                                                                                      • thinking cap
                                                                                      • feather in your cap
                                                                                      • feather in one's cap
                                                                                      • put on one's thinking cap
                                                                                      • old chap
                                                                                      • mind the gap
                                                                                      • credibility gap
                                                                                      • the gap
                                                                                      • generation gap
                                                                                      • last lap
                                                                                      • all over the map
                                                                                      • on the map
                                                                                      • put on the map
                                                                                      • cat nap
                                                                                      • take the rap
                                                                                      • beat the rap
                                                                                      • cold snap
                                                                                      • boot strap
                                                                                      Pure Rhyme Set #1 of 1 (Add to/Edit Set Members)
                                                                                      Words that have a pure rhyme on their last syllable only.
                                                                                      kneecap
                                                                                        recap
                                                                                          End Rhyme Set #1 of 4 (Add to/Edit Set Members)
                                                                                          gas cap
                                                                                            ASCAP
                                                                                              End Rhyme Set #2 of 4 (Add to/Edit Set Members)
                                                                                              handicap
                                                                                                andy capp
                                                                                                  End Rhyme Set #3 of 4 (Add to/Edit Set Members)

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                                                                                                  Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely. (Click for more info)
                                                                                                  branched
                                                                                                    stanched
                                                                                                      Near Rhyme Set #1 of 74 (Add to/Edit Set Members)
                                                                                                      bank's
                                                                                                        banks
                                                                                                          blanks
                                                                                                            cranks
                                                                                                              flanks
                                                                                                                franc's
                                                                                                                  francs
                                                                                                                    planks
                                                                                                                      pranks
                                                                                                                        ranks
                                                                                                                          shanks
                                                                                                                            tank's
                                                                                                                              tanks
                                                                                                                                thanks
                                                                                                                                  yanks
                                                                                                                                    skanks
                                                                                                                                      Danks
                                                                                                                                        Frank's
                                                                                                                                          Franks
                                                                                                                                            Hanks
                                                                                                                                              Manx
                                                                                                                                                • close ranks
                                                                                                                                                Near Rhyme Set #2 of 74 (Add to/Edit Set Members)
                                                                                                                                                banked
                                                                                                                                                  blanked
                                                                                                                                                    cranked
                                                                                                                                                      flanked
                                                                                                                                                        franked
                                                                                                                                                          ranked
                                                                                                                                                            spanked
                                                                                                                                                              tanked
                                                                                                                                                                thanked
                                                                                                                                                                  yanked
                                                                                                                                                                    outflanked
                                                                                                                                                                      Near Rhyme Set #3 of 74 (Add to/Edit Set Members)

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                                                                                                                                                                      Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."

                                                                                                                                                                      No mosaic rhymes for one-syllable words.