I followed a youtuber (Jay) on his hike starting late January '22. He reported some data at the end of each day. From January 28 to the end of February, the average low temperature he experienced was 32*, with a range of 15 - 53*. Plenty of mornings waking up to temps in the twenties. The average high was 56, with a range of 37-75* He ran into plenty of snow, but I don't recall that he had to deal with more than a few inches, and he had pretty clear weather in the Smokies.
BUT - it's a crap shoot! Spring came late, and hikers that started later ran into much worse weather, at least in terms of snow.