+3. I'd be wary of a chemical stripper's possible effect on the CF surface, and I wouldn't put a chemical stripper anywhere near the CF/aluminum joints.
If you insist on doing the stripping yourself instead of having it blasted, maybe something like a Dremel could help you get into tight spots? There are all sorts of wire wheels, abrasive buffers, etc. I've also used things like emery boards, although my wife wasn't too happy about it.