[the docs say I have one of 5 things ]
What are the other things/conditions?
Possibly they have something to do with the reason you are falling and unsteady on your feet?

Do you get dizzy, blurry vision? that can affect your balance/proprioception..
[proprioception is used to describe the sensory information that contributes to the sense of position of self and movement. Body position is perceived both at the conscious and unconscious levels.]
Proprioception | International Encyclopedia of Rehabilitation

With the atrophy, I'm guessing you have NTOS and not VTOS?

Past CA members have mentioned very skilled chiropractors & PTs that were very helpful.
But the winging is a tricky issue, I don't recall if those others had that in the mix also.

If you post the county or a nearby city , maybe the CA member swill have suggestions..
Or use the search tool to see if the county or city has been mentioned in the past here..
http://www.neurotalk.org/search.php

TOS braces-
thoracic outlet syndrome posture brace - Google Search

there was mention of some the posture shirts, I can't recall the specifics of them.. a few members tried and compared some of them.. years back..