I think this is one of those really uncomfortable things that the more you try to get rid of, the more likely you will trigger it somehow. I blush sometimes and feel I could totally get caught in this as I have sorta accidentally summoned it by thoughts like "if i blushed now that would be embarrassing", then the thought of the embarrassment causes blushing
Acceptance I would go with. Not going to be easy though. Accept it is something out of your control and be kind to yourself when it happens (keep an eye out for critical thoughts).
I honestly find blushing incredibly endearing. It tells me something about the person too, that they have some traits I like. Someone who gets embarrassed is way less likely to be unkind, I suspect.
And on women, I find it kinda sexy, on men I think I could probably get on with them.