It will depend on the resin (e.g., epoxy or BMI) used with the carbon fiber. Most resins I use at work are epoxy and either 250 or 350 degree F cure systems. Granted I mostly work with fiberglass and kevlar products, but I don't see carbon fiber being different. You want to stay below the cure temperature of the resin used with the carbon fiber, preferably at least 10%, so 200-ish for the cerakote cure should be fine, assuming the carbon fiber resin is a 250 cure or higher.
Can you shave off a small piece (not sure if this is possible or easy) from the inside of the frame to test it? Or perhaps you (or curious AO member) has an older beat up carbon fiber trigger frame that could be used for the test.
Last of the Salzburg Clan