Quest rhymes with:
bequest, request, telequest, addwest, bequest, eastern-west, farwest, key_west, midwest, natwest, northwest, norwest, penwest, request, southwest, stateswest, telequest, telewest, west
Quest sounds like:
qiaotou, quad, quade, quaid, quashed, quast, quesada, quezada, quickest, quid, quiet, quieted, quiett, quijada, quist, quit, quite, quito, quixote, quizzed, quota, quote, quoted