We also had a residential fridge in our TT when we went to Elkmont in the GSMNP a few years ago. It was NOT a good trip. We arrived on Friday about noon and left on Sunday. It was 6-8 days too long!!! (hahaha)
We are only a 2 1/2 hours away, so we do go to the area a few times each year, but we stay in Pigeon Forge at Pine Mtn. RV Park and then travel on the Gatlinburg Bypass into the GSMNP. From Pine Mtn, it's about a 20 minute drive into the park and you avoid most of the traffic in both Pigeon Forge and in Gatlinburg. It's pricey, but most of them are in the area. It's quiet since it's behind a knoll and you don't get the noise from the parkway, but you are only a block and a half away from it. It's on the Gatlinburg end of PF, so you don't have to deal with the "outlet" traffic. It's definitely our fave.