Generally if not a high pain level, and can do ADLs /work/drive, & not clots, then it is not urgent.
Of course if you haven't had any expert PT you could start that now...
* expert chiro should be of help too if they use multiple modalities and have advanced training..*
I had the best /fastest results with a very good chiro, but he missed the raised top rib at first.. but when I found out he was happy to add that adjustment into my care..
*called a top rib mobilization * often can be very beneficial for us.

trigger points can be very bothersome too.

You don't mention swelling- that is usually a vein issue

the cramping of your hand could be some nerve impingement starting.
A lot of the TOS stuff does not show up on the standard test drs prefer to do, but they have to rule out other possible causes before dxing TOS.
and many general MDs are biased or not knowledgeable on TOS..

If you haven't found our sticky threads I suggest reading as much on those as you can before your appt..
sticky's are in the upper portion on this page-
http://neurotalk.psychcentral.com/forum24.html

It will make is much cleared for you, so you can make informed choices..