I think your best bet would be to find out the entrance that the players use and camp out there at least 3 hours before the game starts. Even at that, I don't know how good your chances are at getting to meet them.
Another good idea is to find out when their morning skate is on game-day, and park outside the players entrance an hour or two before that. Usually less chaotic and your chances should be decent. Not every player signs though, depends on their mood.