I'll repeat what works very well for me for burning is AlkaSeltzer.
This is the original formula.

I take one packet of 2 at night, and it can stop burning for me all night and the next day.

Only people who are allowed aspirin, can use this however.
The bicarb in it allows very fast response, and the aspirin blocks the inflammatory response in the skin. (which is what I think is bradykinin). The all over itching and burning resembles the niacin flush, and aspirin blocks this too.

Bicarb also blocks histamine receptors, temporarily. Environmental and allergy doctors use a bicarb product to block allergic reactions that they induce in the testing situations.
The one they use is called TriSalts, and has less sodium and more potassium in it. But it works the same way.

So the AlkaSeltzer is more effective IMO for our type of burning than the TriSalts.

WalMart makes a generic for AlkaSeltzer original formula. It is in the Maalox section and costs a whopping 2 bucks for a box.