Not at the park itself, but if you follow 664 North into Logan, there is a large Walmart parking lot on your right just past 33.
Logan Ohio is your best bet
The park is open dawn to dusk and the parking lots are patrolled. If you come at night, you would have to find parking in Logan or obtain a campsite.
No
You could go to the astronomy park as long as you don't sleep there. It's open 24 hours for sky viewing and is on 664 just a short distance from. Old Man's Cave. Might work in a pinch.
Not at the campground.
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