Saturday: Very cold temperatures will kick things off tomorrow. After the low-middle 40s today, I won't be surprised to see upper teens for some places around the Upstate tomorrow morning, especially outside of the bigger towns. Lows will fall into the upper teens and low 20s for Upstate towns with teens for lows in Western NC. It will definitely be a heavy coat type of start to the day.
We'll have more sunshine in the early part of the day and then, by afternoon, expect clouds to increase in advance of a weak system moving in from the northwest. This system will produce some 1-3" of accumulating snow in Western NC towns north and northwest of Waynesville, while a few flurries will be possible in NE Georgia and the Upstate, but that may not even happen down here as a dry surface wind works against the production of any snow flurries south of the Mountains.
Sunday - Tuesday: There won't be much of a difference day to day from Sunday through Tuesday as most days will see some sun and clouds with more sunshine much of that time. Lows will fall into the 26-33 range with highs reaching the 50s across Upstate towns. Western NC will have lows in the 20s and highs reaching the 40s and 50s. Tuesday will most likely be upper 50s for highs in the Upstate with a mostly sunny sky. There may be a few 60° or 61° by Tuesday afternoon, but those aren't likely to be widespread.
Warming Late Week: It seems as if the warming process has been delayed again and again. It was once thought that a warm-up was coming by Sunday or Monday. This past Wednesday, that warming trend was then pushed back to around next Tuesday.
Now, it's looking as if the widespread 60s will make a return by Thursday into Friday of next week. We'll see, but that will happen at some point and will feel much better outside.
Most Accurate Projection is Pacific Dominant Pattern from the 7th through Mid-Month: A pattern involving a lot of systems without much west or east of us, short-wavelengths, and very little space for arctic air intrusion argues for a warmer, drier pattern by the middle of February. If that's the case, the window for snow will be quickly closing unless a rogue upper-level low pressure system makes an appearance from now through mid-March.