Settings are going to be different for anything from differing manufacturers because of the myriad types of resins, coatings, or lack of coatings.
Fast and cool is a good start though. You really only want to engrave into the very surface finish and not the actual fibers because damaging the fiber can cause catastrophic failure down the road. If the rod manufacturer didnt put a thicker finish coating over it, the chances of hitting the fibers increases.
IIRC, this was looked at early on and the consensus is that the by-products of the epoxy burning are too toxic to risk. Nicking the fiber shouldn’t be a concern - CF transfers heat very well, to the point there is no chance of cutting CF fabric on the laser. I could be remembering incorrectly, so YMMV.