Don't like the weather while in the smokies, just wait a minute, it'l change.
Last time I was there in March, I think the low was around 38 or so ONE night. The rest of the time it didn't get below 45(ish). The wind can be fierce along those ridges so the wind chill while walking may be a consideration. I have seen snow on the ground in June, even though the average temps stayed 50 or higher, that was NEAT! Walking in snow (small patches, 50' was largest) in a kilt & tee was fun. I even made a snowball & threw it at a tree.
Wouldn't worry too much about bears that time of year at that altitude* & would check with the rangers about bear spray, it MAY be illegal in the national park. I have been hiking there for 50 years, never had an issue with backcountry bears, just the ones the tourons feed. So I got to add a "Plus 3" to the leave the bear spray at home.
*Minimal natural food up high in March.