I have same issue sort-of. I've dealt with the pain I have for 8 years, but to this point, there's been no solid diagnosis and I've seen a ton of healthcare providers. Like you, I have no circulatory symptoms or issues with strength. I do have significant pain at the junction of my neck and shoulder with occasional pain around my shoulder blade. The muscles in my neck, shoulder, and upper back are extremely tight. The first rib on the affected side is elevated and in a fixed position. Over the past year or so, my arm at times falls asleep when sleeping (this is while I'm on my back with my arm by my side).

The only reason I think it may be TOS is because of the rib, but even then I'm not sure. There's nobody that I've found in the Atlanta area that has been able to help.