Does she have neck/shoulder/upper back pain? ( muscular based)
Trigger points in neck or upper back? (headaches/ blurry vision/eye pain)

TOS is as rare as RSD so unless the drs were experts in TOS they might be basing the dx on limited information..

And it is possible to have both RSD & TOS unfortunately....
Reading both forums sticky threads will help you to see if, or what might fit best..

What was the original hand injury?