Have them go through customs every time they leave their property to get groceries. Get yourself a conscientious officer who makes sure he doesn’t have enough hours in a day to fetch something he forgot on his first run. Btw, tough luck with your utilities, I assume it’s quite a lot of paperwork for international piping and electrical connections, especially if your utilities company is motivated not losing 100$ a month.
That doesn’t solve the problem if they get in trouble somewhere else. Also they’d be bothering future Americans wherever we send them
https://en.m.wikipedia.org/wiki/Territorial_claims_in_Antarctica
Pretty sure the unclaimed chunk is big enough to hold most of them