The lodges, are not, lodges, like you might think. They are old, mildew smelling, no phones, TVs, or internet. In the winter the electricity would be off, so no lighting and water, due to the pipes being drained. Basically it would give the teams a roof over their heads. And that's about it.
Since the island is closed in the winter, the rangers won't be about, so no need to worry about entrance fees. With Mr. Jet-Ski hauling rafts of players to the island and the Coast Guard arranging for evacuation cost is zero. I'm assuming Mr. Jet-Ski, with his adventurous attitude will be more than willing to gas up his own Jet-Ski.
Since there will be no spectators, no stands, concessions, tickets, etc - no cost there.
This will be an entirely cost free tournament. Perhaps we can guilt a team doctor into coming along to treat cases of frostbite while the players hike from the shore to Lake Desor.
huskyfan would love to not only organize this tournament and ref it too - skating will be very slow on the rough windrowed ice only one ref will be needed - but most unfortunately, I will be out of town. In Arizona. I suggest doing without refs. They drink up all the profits anyway. Let the game be played, teams can keep track of their own goals and when they are airlifted aboard the Coast Guard chopper and receive medical attention, the team that has lost the least (or should it be most?) amount of fingers and toes to frostbite will be declared the winner.