Well, don't be surprised if Drs dismiss TOS right away, many have very limited knowledge, unless they have an actual interest in it..

If you feel it isn't a fit right now, just keep it in mind if more things start to match up later on..
My version was more of a pre TOS situation, I luckily was able to reverse & recover from the worst sympoms, now I have more of a Myofascial pain syndrome (MPS) but still can't hold my arms up for more than a minute..

Good luck and keep searching..