I live in Sevier County, and Mid February this year was the big ice/snow storm this way. Your trip that time of year would best be accomplished by driving the vehicle and staying in a motel/resort, check out the Wilderness in Sevierville, an indoor waterpark, so doesn't matter how bad the weather gets - once you're there of course. Safe Travels.
2015 Georgetown 364TS, '14 Fiesta 5 spd w/Tandem Tow Dolly HDXL 8x10, & EZGO Customized Cart
'16 - 51 days camping so far, 19 more min planned; '15 - 56 days
2011 Flagstaff V-Lite 30WFKS '14 - 24, '13 - 33, '12 - 36, '11 - 29, '10 - 23