I'd sworn stalling her on cam 6 didn't work, but I just tried it and it worked, so I'm going to assume it was just the random sort of bug that I keep running into for some reason!
But yes, camstalling will keep her from being "pushed", but when combined with the fact that chica and bonnie make sound when they approach, and that foxy just needs the camera to be up, it's not a problem to camstall the entire night