I've been cycling with the Shimano cycling sandals I got off of TE for a few weeks now, and the cycling sandals have totally eliminated the hot foot problem for me. It was a nasty pain, and I feel deep empathy for anyone who is experiencing it. The sandals have a thick stiff sole, plus there is a lot of wiggle room to adjust the width because of the straps, and so I think the design of the sandal eliminates the nerve compression that causes hot foot. I've worn the sandals barefoot, and when cooler with socks. My longest ride with the sandals so far is about 55 miles and my feet did not give me a single twinge of any sort.

Darcy