Since color carbons are typically double transfers, you will have a wider paper choice than with single transfer monochrome. Papers that don't work well for single transfer because of poor wet strength, sizing that mottles, or other reasons, can work well for double transfer. I most often use Fabriano Artistico, Canson Edition, or Stonehenge.
I haven't done Carbon but take a look at the Arches Satine 300grm. (this is hotpress and almost without texture, quite smooth in fact).
Fabriano Artistico also 300grm similar to the A-Satine.