I won't be able to join you but visited Snake Lake earlier this summer. The lake is covered with Lilly pads and is probably pretty swallow. The campground has horse corrals so people with horse trailers have no issue getting in and it is no problem for bikes. Dirt roads take off from the campground. They have some tables and there was water in the summer- don't know about now. They say moderate use but no one was there when I visited on a Saturday. There is no fee!
Just something else to consider or at least look at if you are in the general area. Its a cool road going into it.