I've just discovered this forum, and I know what you are going though. It's horrid, isn't it? It makes you avoid certain situations because you dread that you'll start sweating, and when it happens you sweat more because you feel that everyone has noticed and you feel so horribly conspicuous and more and more nervous and you just want to leave that situation as fast as possible.
My father suffered dreadfully from the same thing, and I inherited it.
A drug that works is called propranolol. It's a beta-blocker so it doesn't make you feel drowsy or cause you to feel that your emotions are cloaked. I think it works through preventing the adrenalin in your system from causing nervousness. My doctor prescribed it at the lowest 10mg dose (to be taken when required) - I thought I'd need a higher dose, but it works just fine. I'm in the UK, so it might be called something else in the US. But I do recommend it.
It's a long time since you posted your message, and the thread is now old, but maybe you'll read this - propranolol is definately worth a try!
Every best wish to you and to anyone else who is struggling with this form of SA!!