I'm sorry. I have a different condition that has responded to dietary changes, which is why I mentioned it, but I realize that I may just be very lucky in that regard. I wish you well.
For what it's worth (and perhaps it's worth nothing), I also experience the burning feet feeling that you describe, although it's usually just a tingle. My arm also goes numb sometimes. My neurologist says that I am having silent migraines, which is a type of migraine consisting of just the aura with little or no head pain.
For me, these silent migraines seem to occur after I eat a meal high in histamine. (A salad with balsamic vinegar produces a reliable, strong effect within a few hours.) There is some recent research coming out of Europe that suggests that histamine intolerance is very real, but doctors and researchers in the US haven't caught up to this yet.