The turntable itself does not give a hoot whether the cartridge is running in balanced mode or single-ended mode. So you can choose any turntable without regard to that issue
Rega seems to be an exception, because Rega grounds the table through the left channel -ve connection! DS Audio cartridges are another exception, because they use right and left -ve wires to carry DC to power the diodes in the optical cartridges.
But in general, balanced is preferred, if supported by downstream components, because of common-mode noise rejection.
Ironically, although the rest of my system supports balanced operation, my new SoulNote phono stage provides fully balanced support for Moving Coil (MC) cartridges, but not for balanced Moving Magnet (MM) or optical (DS Audio). It has front-panel switching between optical and MC or MM, but not between MC and MM. I reckon this is because Low Output Moving Coil benefits most from balanced operation because low voltages are the most susceptible to noise.

