Burning, hot, dry feet at night. My feet feel so hot at night that it makes my whole body hot and I can't fall asleep. Could I have Erythromelalgia?

You very well might. I suspect you are correct. Please get seen by your primary care physician; it's very likely you'll need a neurology visit. Trusting you are not B12 deficient, are not taking meds that can do this, and do not have familial amyloid neuropathy.
Hot Blooded. You certainly having some symptoms that are common with erythromelalgia, but to secure that diagnosis, you would need to thoroughly evaluated by a neurologist.