Here's what rhymes with counterpoint.
                        
                        
                    
                                point  joint  appoint  adjoint  anoint  disappoint  conjoint  disjoint  needlepoint  reappoint  outpoint  bluepoint  Words that almost rhyme with counterpoint
joined  adjoined  coined  purloined  enjoined  rejoined  conjoined  subjoined  joist  moist  voiced  droit  adroit  hoist  soit  spoilt  avoit  foist  coiffed  coifed  hoicked  rejoiced  unspoilt  quoit  banjoist  maladroit  introit