there is something in your environment that you are reacting to.

I for one, seem to react to the nightshade family of vegetables.
When I have potatoes, for dinner, my feet burn ALOT.

By avoiding them as much as possible, I can see their effects when I do try them again.

I also have problems with fructose (just discovered this).

If you take an ACE inhibitor for blood pressure, that increases bradykinin and may cause burning.

You may have inherited a mito disorder (recessive for you) and you may respond to mito support supplements like CoQ-10 and acetyl-carnitine.

Were you tested for CMT? Vitamin C is now being tried for these patients.

All over burning is often reported with illness. I had a virus a couple of years ago, that was not severe, but I had terrible burning! This is because of inflammation.
You could try anti-inflammatory herbs like curcurmin and ginger to see if you have an inflammatory problem. A hint would be if you respond to NSAIDs at all. If they reduce discomfort for you,
then I'd try an anti-inflammatory approach.
If you have had an Epstein-Barr infection like mono in the past, I'd try some high dose l-lysine for a month. This would be in the 2gram range minimum.

If you want, you can PM me your current drug list, and I'll look up any depletions that may be happening to you because of what you take.