Although I appreciate you do not want to ride the bike, and nor would I to be fair to the bike shop I thought it is nigh on impossible to test carbon for structural defects unless really obvious at least without x-raying it looking for internal fractures?
I would detail your concerns as part of the claim, there are loads of articles/threads regarding carbon crash damage. Also point out carbon is designed to be strong in the directions it is expected to take weight and stress and that doesn't really include hitting some numbty driver who pulls out in front of you.
I searched locally for a private Physio, having experienced NHS "hands off instructional" physiotherapy and waiting times in the past. It was around £25 per session, if I am honest I found the Chriopractor much more beneficial not sure if I was just lucky getting the right one but he spent ages and rather painfully pulling and pushing my muscles back to where they where supposed to be after a fracture and dislocation of my shoulder. Where as the Physio was much more gentle, the Physioi commented each week what wonderful progress I was making :-).
And I was very sceptical about how much benefit these things are, my right shoulder 12+ months later is 100% normal
Forgot to say, get well soon and if you need any bits and pieces post'em up I have a fair parts bin.