Good option if main campground is full
Personally, I find having easier access to the facilities of the main campground worth $10 per night if you can find a spot. These dispersed campsites are a good free option if you can't find one though. Make sure that you camp at one of the designated spots, it is not a pick-you-spot-anywhere kind of experience: https://www.fs.usda.gov/Internet/FSE\_DOCUMENTS/fseprd581855.pdf
Sites 1-4 are found shortly after the Nautilus parking lot, where you can find a single bathroom. These spots are also the closest to the trails that take you to the rock climbing routes.
Month of VisitAugust