Update:
I missed the more formal "campground" altogether. On my way out I noticed a sign for a campground area which includes showers. this recreation area offers car camping as well as dispersed.
I got stuck in the sand.
Lake was bright green from cyanobacteria algae bloom. Literally toxic.
I thought I found a spot, but was greeted by a rattler. Much of lake is like dispersed camping.
The river side spots were easier on the trailer, but the three nice spots had been taken.
Inexpensive at 15 USD/Night
We camped at the lake not at the actual campground. Just pulled down on the beach and set up camp. Plenty of privacy and firewood Pit toilet was clean. Nice play to stay on our way to Ely.