No one mentioned the very popular Fort Desoto. Though not a state park, but close enough. Will take you about 2.5 hours (no traffic) to Orlando. Our favorite for sure and one of the very few campgrounds you can fish or kayak from your campsite (if you can get a water site) our favorite
I lost mine 3 years ago on our new keystone laredo.. 2 small kid's bikes and 2 adult. Had no idea, until about 5 miles down the road someone honked, I rolled down the window, and they said "did you used to have bikes on the back of your camper" I will never forget that one. Yes.. cheap rack, cheap bikes, 4 bikes at that! Anyway, bumper looked fine as it had extra welds on the corners, and it was, the rack snapped.
So, the moral is there is a lot of bounce as many have said. I am sure you are fine with 1 bike, maybe 2 when secured properly to reduce bounce and a good rack and a reinforced bumper. Mine stay in the bed of my truck (but they get beat up that way) we also just bought a golf cart now, so I am looking at the Arvika racks, around $800 for a 4 bike holder I think.
We have been to the jellystone in Cosby. Great setting, small campground, but we had a great site on the steam which the kids loved. About 15 minutes from gatlinburg.
We want to go back this summer, anyone been to Adventure Bound campground?