My limited experience with East Coast beach sand driving has been in the Cape Hatteras, NC area driving an old 4WD Ford Explorer with manual hubs and my YJ4.
Just deflate to 50% or so of your on-road tire pressure. I've seen a ton of 2WD pickups do great on the beach in NC - the low tire pressure lets you just float on the sand. Course, you have 4WDhi on the Jeep, so you might has well use it, too.
If you do get stuck, having things like wood boards around is a good idea. You can use them to help wheel yourself out after your overinflated tires have let you get dug in to the beach sand a couple of feet. Course, lowering tire pressure further is a good idea in that situation, too.