Unless you're a professional poker player, there aren't a great number of solid rationalizations for a person to seek advice on how to stop blushing. It's a physiological/emotional response, so one can only guess that learning to stop the process is a matter of learning to control your own body temperature. Great sages of the New Age (and old school) spiritual movements may well have developed tricks of the trade for lowering body temperature through rigorous meditation techniques, but I'm not one of those.

I've always viewed the human being's ability to blush as a good thing. At least it means you're alive. Those who are incapable of blushing strike me as people with dangerous hypotension (low blood pressure) problems that should be treated by a physician, not handled in your own home with mantra or make-up. If you're hypotensive, incidentally, you're probably dead anyway. Congratulations! You're not blushing anymore!

There's always the emotional argument, too. If you make the willing and conscious choice to maintain an even emotional keel at all times and make it a point to avoid situations that would arouse you physically or emotionally, chances are good that you can avoid blushing in public or otherwise. Congratulations to those of you with such self-restraint: you're now either Vulcan or a robot, take your pick.

Seriously, though, why would anyone want to learn how to stop blushing? Part of the beauty of human experience is to be able to give and perceive signs of human emotion, and part of the side-effect of extreme physical exertion would ultimately make some people blush. At least if you have permanently rosy cheeks, you never need to buy powdered blush make-up. It's one of those physical reactions that should be cherished, then, not hidden!