Oh Pansy, I know that pain well! As a general rule, burning pain generally means nerve involvement. In addition to the FM, I have a lumbar stenosis and it causes an impingement (back bones pushing on the nerves where they come out of your spinal column) on my right side. High doses of steroids will generally help get it under control more quickly. They come with a lot of not so nice side effects, but once or twice a year when it really flares I can't be choosy! I've found the most wonderful pain doc. She gives me injections every six to eight weeks into the nerve root that comes from the spinal column. The injection is Vitamin B-12, lidocaine (a numbing agent) and a steroid. For me they work great! I get 2-4 relatively pain free weeks, then the pain starts again, but it isn't as bad. I've been getting them for years. She injects multiple locations along that side of my spine. It's no treat, but it's effective.
I also use a TENS unit. It's one of my favorite "toys". I never leave home without it!
I've tried therapeutic massage, but all that did was make me want to scream and made the pain worse for a week or so.
Hope you find something that works for you. Also, just a tidbit of info; if you are using tylenol for that pain, it won't work nearly as well as regular aspirin or Advil. Aspirin and Advil are much better for inflammation. Tylenol is great for fevers!