Sugar Sands is the closest, also the newest. Bella Terra is pricey @ $70-85/night and Lake Osprey is a bit away from the beach but seems everyone is migrating there. Heritage is right across from the beach. Try looking at Anchors Aweigh. Nice park. There's also an Elks Lodge with hookups and grassy sites, if you're a member.
If you decide on Bella Terra, be sure to ask them for their "special"...$99 for four days and three nights...only hitch is you have to listen to a sales pitch....Best of luck...Dennis