Hi Jason,
I'm sorry you are hurting.
I'm not a dr but got rsd a few years ago in my right wrist and it spread to my hand and shoulder within about 4 months of being diagnosed. My skin was shiny, I had excessive hair and nail growth on tht backof my hand and wrist and upmy arm which stopped just below my elbow. I had extreme swelling and it went from dark purple to red and then also more normal looking when elevated. My otherpedic dr suspected it frist and sent me to a pm dr who confirmed it. I also went to a neurologiest who confirmed it as well.then to my gp juss so he was aware of waht was going on. I would check with all these drs and more if they don't know, but a neurologist and pm dr are probably your best first steps. Then they can advise you on what to do next. Like I said , I'm no dr, but your pic looks similar to my handa a few years ago. I also had dry scaly skin and no range of motion in the begiinning and it hurt to touch. I had a deep aching pain. the burning and spread started a year later. Well good luck with drs and though I know its hard, try to stay as calm as you can. My thoughts are with you.