In my opinion I would only be treated by a pain specialist/anesthesiologist or neurologist that deals with RSD. It is so key from my experience and what I know others who have faced. Then of course you would have a gp or other specialists but in terms of pain control etc.
My best pain doctor I found and way better then at Cleveland Clinic or UCLA was in my home town. I called a university/teaching hospital pain dept and explained I had RSD. They had a pain doctor who dealt with RSD more then the others. I suggest you doing that. If you are able to travel some gave good ideas and though I did not have a good experience I know a teen who did at Cleveland Clinic