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