Here's what rhymes with higai.
guy chi quae kai by my high why die lie thy y buy cry sky tie vi hi shy sigh bi bye dye fi hy nigh pi pie thai thigh vie dei ly psi rye ty wir awry hai lye mai muy nai wry cy fy lai luy mei sy tai thei wai phi dry try fly spy fry ply sly pry tri trie pri sty aquae spry stye slier apply supply thereby deny rely hereby defy goodbye belie decry untie amoebae overlie deify ossify retry amebae turfy lanai scurfy shanghai overbuy reply imply nearby occupy whereby comply nuclei alkali signify verify certify alibi alveoli pacify samurai pupae codify descry edify vilify bonsai firefly vivify horrify stupefy overfly versify drachmai ripply speechify banzais justify satisfy clarify modify qualify specify classify testify glorify gratify notify underlie fortify magnify nullify ratify rectify standby unify falsify lullaby termini terrify typify crucify dignify liquefy mollify ramify resupply acidify mystify triply blowfly calcify misapply reunify liquify scarify barfly mummify vitrify beatify yuppify stimuli simplify butterfly purify quantify amplify diversify beautify solidify mortify oversupply personify preoccupy stratify stultify ultrahigh emulsify petrify reclassify revivify cumuli hyperbolae prettify refortify syllabify dandify identify multiply intensify objectify demystify detoxify dragonfly electrify dissatisfy declassify gentrify solemnify exemplify disqualify indemnify oversimplify misidentify transmogrify