I actually have two friends with that problem. I don't think there's a secret technique. Why don't you do the procedure to fix the problem? It's simple, it can be done in any hospital and you'll be a lot more comfortable from then on.
One of my friends fixed his problem and the other one, which is actually also a student of mine, didn't although I advised him to do it. When we practice, while he's performing techniques he almost seems to sufocate by himself. He simply can't get enough air.
I don't think that's worth it just to avoid a simple procedure... just an advice.