There was a little room right in downtown Saratoga (one block from the main drag), but I believe it may have closed. I think there is still one in Ballston Spa, just a short hop away. My son goes to Skidmore in Saratoga.
Trust me...there will be adult beverages involved...driving 24 miles on strange roads, with out of state plates, and fortified with said adult beverages= BIG TROUBLE