I completely get the sunburned feeling, it is a good description, several of us suffer with that and I am on pain medication and have not found that it helps that symptom. I get severe shooting pains in my legs from muscle atrophy and the medication helps with that so I can walk and function, but it doesn't touch the burning feeling.
You are so very young, I would try not to take any medication for now and concentrate on finding a cause, as Glenn suggested. Also, video games have been found to help with pain by offering a compelling distraction. I know my son who is your age finds them a great help in coping with pain and psychological issues. Is this something that you enjoy? Are you able to play? I cannot for long because of hand issues, but find that while I can I forget everything going on.

Nerve conduction studies are notorious for stirring up the pain for a few weeks. Does anyone in your family have neuropathy?