Nah, if you're gonna put them on an island, I think that Martha's Vineyard or Nantucket would be a better choice.
Another suggestion - Vieques Island, about six miles offshore from Puerto Rico, which was used by the US Navy as a target practice range and cannon bombardment practice.
The Puerto Ricans have contested this use, and presently the US Navy has abandoned Vieques, but there is still a significant amount of ground contamination from the TONS of ammunition still in the soil. The US holds title going back to the 1930’s when they acquired much of the land from failed sugar cane plantations.
The Puerto Ricans view this island as some kind of vacation and retirement resort place, but that may be overridden by the needs for national security purposes, in this instance, sort of a holding area remote from the US mainland. Then ALL male “refugees” from the age of 16 and up would be shunted for holding purposes to this locality, allowing the widows and orphans to proceed to one of the barrier islands off the North Carolina coast, where they would undergo medical examination and certification as to their fitness to enter the mainland.
Keep in mind there may still be unexploded ordnance on Vieques, as well as a considerable amount of “depleted” uranium, which constitutes most of the contamination of the soil.