The main reason that most people don't use Nitrogen is the fact that almost everyone over-inflates the tires in the pits and lets air out of the tires to bring them to the desired pressure at the last minute in the staging lanes.
That would get a little expensive.
I could easily see using it in the front tires, but if it is as stable as you say, it may be useful for the rears also. You could just inflate to 1/2# over and do a small adjustment.