I'm a blusher too! Processed foods and alcohol exasperate it, but even without those things (and gluten-free), I still have days where I get very red if I do anything strenuous.
I'm actually looking into a theory that it could be caused by low stomach acid. How's your digestion?
Also, for your sweating - did you ever check out a book called "Sweat Miracle"? It's one of those that you order online and promises to make you sweat-free in 10 days. Etc. etc!
"I think the basic anti-aging diet is also the best diet for prevention and treatment of diabetes, scleroderma, and the various "connective tissue diseases." This would emphasize high protein, low unsaturated fats, low iron, and high antioxidant consumption, with a moderate or low starch consumption.
In practice, this means that a major part of the diet should be milk, cheese, eggs, shellfish, fruits and coconut oil, with vitamin E and salt as the safest supplements."
- Ray Peat