Bending stress is highest on the outer limits of a bend plane. We'll assume the neutral (unloaded) fin is the bend plane here.
That's where you want your fibers to be aligned straightest, so the worst tension and compression is running up and down solid fibers instead of acting on glue/fiber interfaces.
Thank you Nytrunner for explaining this to me. I think I get what you are saying. The outer layer would have to bend more than the inner layer. Since I do not know which direction the load will be coming from (different modes of flutter) I can only guess which way to run my fibers on the outer most layer. But my outer most layer (if I ever stop adding CF LOL) will be plain weave with the tows running 0 and 90 degrees. The layer just under that will be running 45 and 135 degrees. These fins will be VERY STRONG! I'm sure they will take anything I can throw at them. Even the 5800!