I was unexpectedly awed by a visit to the arena at Lake Placid. I recommend going there during the off season, when the arena is essentially empty, and you can hear the recording of the game faintly echoing from the adjacent museum.
An ideal off-season visit will at least have a few figure skaters training on the ice, or (even better) a hockey team doing some off-season training. Lake Placid hosted an international exhibition hockey tournament in August a few years ago that attracted the top junior national teams from around the world.