Fairfield Glade
Our teens liked The Bean Pot restaurant, but the adults did not care for the food as much (too high in fat, calories, starch, etc.).
We enjoyed hiking at Fall Creek Falls State Park. My husband and brother-in-law like Big South Fork. GSMNP is great for hiking, but it is not particularly close to Fairfield Glade and the most direct route is via the heavy Sevierville/Pigeon Forge/Gatlinburg traffic.
Our only disappointment was that the rental bikes were not well-maintained. If you want to bicycle around the resort (and it is a very large resort), I would suggest you bring your own.
When we were there last summer, there was no grocery store closer than Crossville. There's a Kroger and some other large groceries in Crossville, though.
The resort offers a number of bus trips, etc. to places such as the Sevierville/Pigeon Forge/Gatlinburg area to the east and Nashville to the west. We enjoyed the trip to Nashville for the Grand Ole Opry.