Stegemeier rhymes with:
pugmire, biedermeier, dannemeyer, fesmire, foxmeyer, hehmeyer, jurgensmeyer, kastenmeier, obermaier, ohlmeyer, proxmire, pugmire, racamier, retemeyer, rightmire, rothmeier, settlemire, settlemyre, stiegemeier, stoudemire, stoudenmire, suttmeier, tietmeyer, untermeyer, waymire, whitmire
Stegemeier sounds like:
stagnaro, stagner, stegmaier, stegner, stiegemeier, stogner