If you decide you don't want to spend the money on carbon fiber a friend of mine used a burlap sack to match his fenders to his CF hood. It looked pretty flawless. If you lay the base color then stretch the burlap over it and spray the next color it looks like a weave.
Yeah many fabrics work with epoxy and polyester resins, but do not always have a great lifespan. If I was going to use a substitute I'd probably just use glass cloth and pigment the resin so the weave is only visible under the right light. It might be cool to use a cotton woven or knitted fabric with a cool print on it too, but for now I'm sticking with the carbon or kevlar idear.