WE were at both Lake Cumberland and Norris lake last year. Lake Cumberland is an older campground and not suitable for bigger rigs. In fact they warn you about going into some areas as you may not be able to turn around. Norris lake has two campgrounds and neither is on the water. One near dam is smaller and tighter and mostly stone, also road in is narrow and you would not want to meet anyone coming the other way. West Campground near park headquarters is bigger and sites are paved. BUT, road into it has some steep grades up and down and switch backs too.
We also stayed at Kentucky Dale Hollow state park near Burkesville, KY and I would consider it the BEST state park that I have ever been in. All the sides are paved and on a loop that has the camping spots fan out like a pinwheel, and they are extremely easy to use. Well maintained and in GRATE condition. Very large park and Dale Hollow lake is adjacent to park. Would not hesitate to go there again.
Also Burkesville does have full hookups available.