Noiz2
Sound Ninja
Just curious are you suggesting that this be done in production or in post?
I've heard this suggested as a post "fix" for noise. Though it is usually suggested that you loop a noise sample and invert it. I have never heard it work. Not saying it doesn't, just that I have never found anyone who got it to work. In this case what he's talking about should if done correctly completely cancel the signal.
But when you have this kind of problem go for it. What do you have to loose? Some time but not as much as Foleying the whole thing.