Here's what rhymes with finically.
cynically clinically Words that almost rhyme with finically
physically critically pitifully politically empirically citizenry sadistically nonphysically indigently scientifically statistically intrinsically metaphysically uncritically extrinsically militantly parasitically pontifically significantly precipitously hypocritically municipally pessimistically subliminally iniquitously chauvinistically hypercritically optimistically mechanistically ubiquitously uninhibitedly unscientifically ritualistically nationalistically insignificantly indistinguishably individualistically