You are in a tough situation. If you have polyps in that area, then surgery is going to be too risky (you have an excellent doctor), and antibiotics are often not effective in the sinuses.
I am going to mention a technique that will remove the infection, at least. Since the sinuses are a medical frontier, I don't know what other side effects you could have. My theory, unproven, is that polyps are caused by chronic infections. Hypertonic saline does shrink swollen tissue, so it may help with the polyps, or may not. Like I said, it's a risk you have to assess on your own. I took a risk when I developed this technique, and my messed up sinuses now work marvelously, and I can only wish you the best.
http://www.medhelp.org/user_journals/show/2322
The other risk I always mention is that you have to bend over in a shower, to defeat gravity (which is why most saline irrigations fail), but you can also do it outside on soft ground.