--is that this may have something to do with damage--or ongoing repair, as Rose mentions--to the smaller fibers that control autonomic function.

In addition to subsuming the sensation of pain and temperature, the smaller lightly or unmeylinated fibers control nearly all the autonomic functions in our bodies, from gastric motility to blood pressure to sweat response to tear production. And a lot of people who suddenly feel weird temperature changes may be getting erroneous signals both from nerves that sense this (i.e., feeling heat when there is none objectively in the surrounding atmosphere), and from nerves that would respond to an actual change in heat, such as the sudomotor sweat signallers. In fact, there is the theory that the hot flashes of menopause are due to the response of these nerves to sudden hormonal floods. (Don't know what age you are, but some of those symptoms you describe sound suspiciously similar . . .)

Given that you had an acute onset with this whole thing, and people with acute smaller-fiber syndromes often have related autonomic dysfunctions (although they are often "subclinical" and hard to pinpoint), it might be a good idea to see if some autonomic testing would be available--have you ever head sweat testing (sudomotor axon reflex testing), or tilt-table Valsalva maneouver testing?