Cheap, last-minute beach vacation for one?

Hey all -- I really need some beach time. I've been freezing all winter, and I have a few days off. Ideally, I'd spend under $3,000 for 3-4 nights within 4 hours of NYC. I prefer beautiful and quiet, since I live in a city -- nature over fine dining, but I'd take a quiet pool. I don't drink, and am definitely not looking for partying or shopping. This would need to be around Easter weekend, either leaving the Friday before Easter, or up to a couple days after -- I need to be home by the night of 4/9. I've been trawling the web, but feel overwhelmed!! Help?