Fittest rhymes with:
advantest, anabaptist, anesthetist, apprenticed, artist, baptist, bluntest, brightest, cornettist, cultist, dentist, faintest, fastest, fattest, greatest, hottest, lastest, latest, librettist, lightest, neatest, noticed, orthodontist, practiced, quietest, quietist, remotest, slightest, smartest, softest, strictest, sweetest, swiftest, tightest, wettest
Fittest sounds like:
fatigued, fattest, fetched, fetishist, fidget, fitchett, fudged