I am not a prfessional, but have been having a lot of various types of back pain. To me, your description matches what I had that my doctor described as neuropathic pain.
After trial and error, the medication that has worked wonders for me is a very new one called "lyrica". You will see a posting I did recently on this topic. The subject line mentions neuropathy and lyrica.
Ask your doctor about it, and whether he/she thinks it might help.
Personally I had a tingling/burning sensation of much of my thoracic region. As I said, it sounds similar to what you describe in your arm.