Yes, I have burning skin a lot. I tend to take my shoes off and press my feet/body against the floor because it's cooler. Do you also get heat flashes? I get them in my face and neck, then run outside in below freezing weather until my body is inside, my face and neck outside.
My face will turn beat red a burn like crazy. It's not my skin burning it's nerve pain. I had a three year stint of it being 24/7. It was so bad it made me want to die at the time. I couldn't take the pain anymore. My hands would get ice cold at the same time. I had no answers from docs except one said I was borderline lupus. This was many years ago. I didn't believe him because he was a loopy doc. I wish I had. Now I get the burning only from Time to time thankfully. Add in hot flashes now which the birth control has helped immensely.