We have not stayed at the park, but did look at the various campground areas. My FW is the same size as yours. Here are our notes from White Oak, narrow bridge into camp, nice sights but hard to maneuver, small distant bathhouse, dump station next to bathhouse. For us personally, this are is a no go. It may be okay for you if you are confident handling your rig. I would call the campground and ask them about the White Oak section for your camper.
Whispering Pines is a new area outside of the park. Sights are large and level some are open, and some treed. New bathhouse and dump station. Easiest of all the campgrounds to get in and out of.
Not too far away is Lake Robertson Recreation Park. I think this is a county park. Roads are gravel and maybe a little narrow. This was our first trip out with the FW so I'm sure my parking abilities were terrible. Bathhouse was older but clean. Had play area for kids in the campground. You can bring your own firewood or buy 8 pieces for $2.00. They also honored the America the Beautiful pass. Dump station is near the bathhouse.
Also the restaurant at Douthat is very good.
2005 Holiday Rambler Alumascape 32SKD
2001 Dodge 2500 Quad cab, 4x4, HO, 6spd, 4:10