Check out the Timber Frear loop. The entry lake, Whitefish lake, has a small campground with a few sites and a nice pit toilet. There is also a site just south of the campground you can drive into, and another walk-in site a bit further south. There are also a number of sites on the loop of lakes. It's a mini-BWCA.
Timber Frear loopIf you fish, the walleye on Whitefish lake mostly bite at night. Just troll with a crankbait. The lake is very clear.
I would go in mid-week. It's very busy everywhere there is camping up north, so mid-week would allow for the best chances of finding a nice site.