Finest rhymes with:
abolitionist, accompanist, antagonist, arsonist, botanist, calvinist, cartoonist, chauvinist, cleanest, columnist, communist, conservationist, contortionist, determinist, dishonest, ernest, exhibitionist, expressionist, feminist, gymnast, harnessed, honest, illusionist, impressionist, isolationist, jansenist, keenest, kienast, leanest, machinist, meanest, menaced, modernist, neoplatonist, obstructionist, organist, perfectionist, pianist, platonist, protagonist, soonest, sternest, unionist, violinist, witnessed
Finest sounds like:
famished, fancied, fanciest, feminist, fenced, financed, finessed, finished, finstad, fumigate, fungicide, funnest, funniest