This is really interesting, because that's the kind of asthma we all have. And on top of that, I've never sweated the way most people do, and after I overheated a couple of times when I was much younger, I more or less stopped sweating entirely and it took years for that to change. I ultimately took D.'s advice to exercise at a low rate of intensity in moderate temperatures and increase duration and intensity steadily to tolerance. Which in retrospect, sort of a duh thing, but it was nice that it worked so well.
But finding out there might be a genetic thing that tied that, the "asthma", and the dry mouth and eyes together? That's kind of a revelation.