RE: is it a good idea?
Even if it is legal it will pretty much insure you won't see any deer with in range of a bow. Either small game hunt or deer, doing both probably won't work out that well. Deer hunting with a bow is all about stealth, popping little critters with a .22 pistol isn't exactly stealthy in my opinion. .22 rifles are not all that loud, but the pistols are.
Paul