Intermix rhymes with:
mix, bix, bricks, brix, chicks, clicks, cliques, dick's, dickes, dicks, dix, fickes, fix, flicks, fricks, frix, hicks, hix, kicks, knicks, knicks', licks, mix, nick's, nicks, nikk's, nix, nyx, picks, pix, pricks, rick's, ricks, rix, six, slicks, sticks, styx, ticks, tics, transfix, tricks, vic's, vicks, wickes, wicks, wix
Intermix sounds like:
intermec, internees, interns, intrinsic