Excellent plan.
But instead of northern AK, a more southern part of the state might be better. Specifically Attu, the site of the one WW-2 battle fought on US territory. It is the largest uninhabited island in the US,the westernmost Aleutian island, and most recently used only for a USN weather station—now just a bird refuge. It could be a great place to warehouse any number of border jumpers, while they are awaiting adjudication of the claimed refugee status. Provide Quonset huts, along with USDA surplus rice and beans. Better living conditions than those provided for the troops who served there in WW2.
The weather on Shemya is very drastic, though the temperatures only vary between single digits to the mid fifties, and the climate is perhaps the most equatorward low-altitude occurrence of a polar climate (ET) in the world, though it is extremely close to a subpolar oceanic climate (Cfc). The island weather is most likely to be cloudy with a mist and the wind is often in the mid 30s to 40 mph. The Japanese current in the Pacific to the south of the island regulates the temperature.
I knew a guy who was stationed there in the USAF. His one word description, “Wind”.
It is a small island in the Semichi Islands group of the Near Islands chain in the Aleutian Islands archipelago southwest of Alaska, at 52°43′27″N 174°07′08″ECoordinates: 52°43′27″N 174°07′08″E. It has a land area of 5.903 sq mi (15.29 km2), and is about 1,200 miles (1,900 km) southwest of Anchorage, Alaska. It is 2.73 miles (4.39 km) wide and 4.32 miles (6.95 km) long.