For creeks, there’s one that’s in the national forest on the east side of gatlinburg. Google Greenbriar picnic pavilion, it’s along side it as you come down the road. There were people hanging out along and in the river/creek, and there’s plenty of shaded areas around too. Just be careful of snakes and bears.
Anakeesta was alright. A bit hot, everything was cash only, and expensive. The aquarium was good though, and parking was cheap right behind it. But if you don’t like crowds… good luck. Can’t really help you on pizza/beer though unless you go to Knoxville.
If y’all like driving around and viewing the mountains, and don’t get carsick too easily, go drive us129 and go through and to the cherohala skyway. Lots of pull offs for pictures and picnics. You can go straight down the foothills parkway to get there.