They have really nice trails. We went camping there last weekend. We did a little mushroom🍄 hunting. Mostly the kids. They didn't have any luck, but t I think it was because they are just rowdy kids that really enjoyed the trails. If you're in the area, ask the campground host. I'm pretty sure it's not a problem
I've attempted to call the superintendent about this question several times and never received a call back... My understanding of their rules through the site is that the park is off limits for anything but turkey hunting during turkey season, even after shooting hours.
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