Is dr thinking you have RSD/CRPS also?
Has dr mentioned that at all?
Which type of TOS do you have? The Dr should have mentioned it ,esp. if blood flow is affected -
Vascular (arterial, venous), nerve , both

Have you had time to check out /verify the Dr/surgeon for skills & experience? Up to date on the newest techniques?
How many of these has been done by this surgeon? per year or ?

I wouldn't really want to have multiple things done during the surgery unless there is a very clear reason going in.
Just because he is in there
Once some things are cut ..no going back

I've read more about those stellate ganglion blocks on our CRPS/RSD forum -
http://neurotalk.psychcentral.com/forum21.html

Having a surgery with rsd already can cause it to spread, and special precautions need to be taken.
Info can be found on our rsd forum.

I really suggest a lot of reading on this forum and the rsd forum.