Eric
Carbon fiber has a couple of drawbacks in frame use. For this application in order to remain resilient I would think you would need to manufacture in the lock flex. This could require some very expensive molds. Additionally the strike on the lock bar would not be resilient enough to handle the wear...not even close. Which would require a hardened piece of steel be built in for the lock, which is not terribly difficult...but really WHY?
Titanium is appropriately named; it is the metal of the gods. Even if you did get a working model I would be surprised if it would outperform Titanium overall. They are equally bad to work with in different ways so not sure what there would be to gain???? Mattbrook gave you the answer.
For starters scrounge up Bob Terzoula's book TACTICAL KNIVIES, it is out of print but you can find it on Ebay or Amazon. He makes and shows some steps for doing inset lockbars which works well. Or follow the Strider approach and build a framelock with the lock side in TI and the presentation side in CF.
Best of luck,
Eric