I rode for years with my front fender zip tied to the fork, since my MTB didn't have brazeons. This could work for your carbon fork as well. However if you don't have clearance for standard full fenders (usually this is an issue on racier bikes between the top of the tire and the crown, you may wish to look into the
Crud Roadracer, it only fits tires up to 25mm, but if you have a carbon fork, that may be all you're running anyway. It requires no brazons to be fitted and is very thin to fit through the narrowest of gaps between tire and fork.