Cocoa beach is probably the closest beach to Disney. There is a public beach right behind the world famous Ron Jons that charges about $4.00 for parking. It is a very busy, active area. For a more natural beach without the hotels and store, try Playalinda Beach, part of the Canaveral national Seashore. From Titusville go across the Max Brewer Memorial Parkway and keep following the road all the way back. There are numerous parking area with bathrooms along the beach road.