Isn't it always the way? It is so hard to make that decision. It's exactly what happened before my Nissen surgery, and I went forward with it. That was a bit different, though, since my lungs were always bad at that point, and it was a Catch 22, since I needed the surgery to try to make them better. There was never a time when there would be a window of opportunity. That said, I probably had it when my lungs were in the worst possible shape.
I was worried about the general anesthesia, but didn't have any problem with it. I took a nebulizer treatment just before I went in, and from what I've heard from a friend who is a nurse anesthetist, they put meds into the gases they're pumping into your lungs as well.
I ended up with Rocephin shots that finally cleared it up, but in the meantime, I was coughing gunk up no end, with my husband doing lung PT. Even with all that, I found out recently with all my tests, amazingly, my wrap didn't suffer from the stress of constant coughing.
Now for your situation.
I don't know if you saw my post, but when I asked Chrysa about your coughing worries, she wasn't concerned about the coughing in regards to the success of the surgery, but did say that you would have additional abdominal pain (I think she said they tighten the muscles while they're in there) with your coughing.
My feeling is this...if you think that your lungs are going to be bad regardless, and no matter when you have the surgery you're going to be dealing with coughing, you might as well get it done now and have it behind you.
If, on the other hand, you're going to be in the midst of a horrible cold that is going to make your recovery that much more difficult and painful, and you think it's a temporary condition, it makes all kinds of sense to wait until you're lungs have cleared up.
I know, I'm no help. Do you have to let them know right now? Could you give it a little time and see what happens? I know...with me a cold usually travels to my lungs, no matter what.
Good luck with your decision, and I hope your cold makes a miraculous recovery this week!