Close the island, make it a wildlife refuge, and then allow entry by permit only.
The birds, turtles, raccoons, possums and deer won't trash the place.
The drunks-n-druggies, and that's ALL there are out there on any weekend, can go someplace else. (It's ironic how they're all so "green" in their politics, but think nothing of leaving a few cases of empty cans or bottles lying in the sand.)
Simple solution