We stayed one night at "Big Mac" on July 6th on our way out to Colorado in beach area 12. We were able to pull right up to the shore. There was a heat wave coming through so it was very hot. The bathrooms (In our spot they were just biffy's) are a bit of a walk from the spot we were at.
We had 3 setups, a roof top tent, inside the 4runner and a ground tent. All parties slept pretty happily including a 6 year old. We cooked right on the beach and had a campfire.
Towards midnight we saw some amazing stars that the pictures I included don't do justice. We would stay here again but I would caution anyone coming here to bring some sun screen and ensure you drink a lot of a water. There are some tent spots among the trees that provide more shade.
If you're from a state (Like we are from MN) with lots of beaches and Lakes, it's really "just ok". Don't get me wrong, It's cool you can camp right on the beach and it's probably the most exciting place to be in Nebraska, but that's not saying much.