Check out this video, may or may not be of help: http://www.ehow.com/video_###-###-####_keep-feet-burning-...
You said you tried more breathable fabrics but were they specifically meant for running? Cotton is breathable but not breathable enough for some so there are other matrials that are better.
Antoher site: http://www.copacabanarunners.net/i-burning-feet.html
From a quick search it looks like you will have to do a lot of trial and error to figure out what will work best for you. I have the opposite happen, cold feet all the time even when running... but have found heating pads on my feat are retraining my body to send more blood to me feet to keep the warm.