First off can i say none of this would happen if it it wasn't for Paul, Matt and the guys at Easy Composites,

For tricky little strip's of fabric like that, I suggest getting some spray adhesive from EC and spray your carbon fabric with it before cutting. Let it dry, then after about 15 minutes it shouldn't be sticky at all any more. This fabric will then behave like a set-weave fabric like EC's Profinish, and you can cut it very accurately and intricately without it fraying too badly. Not as good as pre-preg, but much easier than loose fabric.