What are you looking for in a campground? Close to the action on the 'strip'? Full hookups and swimming pool? Price?. There are so many CG's that run the gamut of services and convenience to attractions you need to decide what things you want in a campground and let us know so we can be specific for you. I live in the area and am familiar with most places and they all offer the basics but some are more high end.
I will reccomend a few for you. For W/E hookup and dumpstation available the TVA headwaters and tailwaters campgrounds are good. They are a few miles away from the attractions and main drag. Peaceful and right on Douglas lake and the river. Duvall in the Smokies is closer and a small quaint CG only minutes up the road from Dollywood and the "forge'. Some sites back up to a small stream. High end is The Ridge, a new CG in the same area as Duvall but a bit closer to Dollywood. There are many others to choose from too but here are a few to look at for you.