From the Wikipedia entry, the planets may be of any temperature as long as the star is carbon producing. Please note that the stars don't have to be actual carbon stars, they just need to be richer in carbon than they are in our neighbourhood. Stars near the galactic centre are therefore more likely to host carbon planets. They may be found around brown dwarfs even.
It might therefore be worth checking out icy planets, where the basement rock would be water ice in some chemical environments, hydrocarbons in others. We might be able to shower in diamonds from volcanoes on hot carbon planets, swim in oily pools of others. Maybe even sail the fullerene seas on some...
This gives me something to do on my current exploration trip. I'm meandering nowhere in particular and scanning everything in systems that suits my fancy. I'll start mapping out planet compositions by star type I think, including icy planets. Keeps me off the street.

S