bigminnow - I just checked Track of the Wolf and they show stocks for the TC - the link is
I've never had a TC nor a CVA but I would imagine that the lock mortises are different, different inletting on triggers, etc. I kind of think it would be swapping oranges for apples - but someone who has either or both of them could speak better to that.
Try googling "Thompson Center Hawken Replacement Stock" or similar and see what you come up with as well.
Another suggestion is to go to the NMLRA (National Muzzleloading Rifle Assoc.) site and see if any stock companies or links are listed and then contact them to see what they have.