GLC, that totally sounds like what I have !!!!!! They are hot and BIG, several inches across, and only on top of my thighs, but don't itch or hurt. My thighs/legs are also big compared w/ the rest of me. And, yes, indeed, I am in southern NM and training for a century in TX (the Hotter 'n Hell) so I am doing mid-day training. Wow. I feel better knowing I am not the only one.
How did you figure out it was heat rash?