The Point Lookout State Park has two beach areas the public can access, one pet-friendly and the other not. As my Siberian Husky, the Princess Akira, went with us for this getaway, we ended up camping on the beach where she was allowed to go. This area was far better than the general public one, 100%, as we had about three beach stretch areas to ourselves!
The beach to yourself, basking under the summer skies, or swimming in the Chesapeake, you and your dog (she did it for the first time!), quality time with friends and family, it's what summer getaways should be.