Badgett rhymes with:
clagett, padget, padgett, padgitt, blodgett, bridgett, bridgette, brigitte, budget, burgett, chargit, clagett, collegiate, edgett, fidget, fugett, fugitt, gilgit, hargett, legit, midgett, mudgett, padget, padgett, padgitt, puget, widget
Badgett sounds like:
baptist, baptista, baptiste, baptized, bathgate, batista, batiste, battista, battiste, battisti, bautista, bedecked, bedgood, bedside, bethesda, betwixt, bewitched, bidgood, bodeguita, botched, bud-test, buddhist, budged, budget, budgeted