Enjoin rhymes with:
conjoin, adjoin, conjoin, join, rejoin, adjoin, ardoin, aucoin, beaudoin, boudoin, bourgoin, bowdoin, boyne, broin, burgoyne, chaudoin, chicoine, coin, conjoin, coyne, des_moines, goin, goyne, groin, hoyne, jodoin, join, lemoine, leoine, loin, mccoin, mcgloin, micoin, purloin, raboin, rejoin
Enjoin sounds like:
emison, emission, emogene, encino, engeman, engen, engine, engman, enichem, enigma, ensign, enzon, enzyme