Belt or disk sanders work well for this, if you have access to them. CF can be somewhat of a challenge to shape, so you may be better off with a dense or stabilized wood scale. Canvas micarta has an interesting character, but I've never worked with it so don't know practical it is for someone starting out.
If you lack the power tools, you should be able to cut to size with a fine tooth coping or hacksaw, then sand to fit by rubbing against a sanding block and epoxy the scales in place. Hand fitting takes plenty of patience but you'll have a one-of-a-kind example of your skill when you're done. Please let us know how it turns out.