My experience with studded tires is that after a few years, the studs start to "punch thru" the inner layers and cause small leaks. So it hasen't seemed worthwhile to repair the tires once the studs are badly worn. Usually I plugged the leakers and drove some more, but there would be more leakers over time.
I suppose you could restud your own tires but I would suspect a shop would probably not since by that time your tires are probably on their last legs anyway and it would be a liability for them.
Snow tires wear out well before the tread is gone. Just the nature of the beast.
Good Luck, or move to So Cal, where we don't need no stinking snow tires.
Jim Henderson