RAH gives us a little hope. It's all we got:
The EC, GEM, and NAM all remain dry through Thursday. However, the latest 2 runs of the operational GFS, along with a majority of the GEFS members have trended wetter Monday night and into Tuesday; with an area of precip blossoming east of the mountains, in response to shortwave perturbations embedded in the broad cyclonic flow aloft and resultant weak spin up of a sfc low across SE US. Will keep forecast dry for now, but will closely monitor as temps aloft and at the sfc would be sufficiently cold enough to support some light snow(liquid equivalent ~.10") across the NC Piedmont.
cP airmass in place will begin to moderate on Thursday as the parent high across the area begins to break down, under zonal flow aloft. Significant model differences arise by Friday and into the weekend, as a series of shortwave troughs with Pacific origins eject east across the CONUS. While it looks like the arrival of the deeper moisture will hold off until Friday or even Saturday, like precip could spread into the area as early as Thursday night/early Friday morning. Given antecedent cP airmass in place, favorable nocturnal timing of precip across the area Thursday night/Friday morning, could support a brief period of frozen or freezing precip at onset, before changing over to all rain.