A couple of thoughts for you Cat. In Middle TN, especially along the Duck and Harpeth, there really are not enough ducks to notice an influx of new birds from a passing cold front.
The points others have made about the Woodies being gone is key. I can find huntable numbers through December but after that it gets tough.
Your best bet for ducks along the duck and harpeth rivers in January might be new water. Think low spots in river bottom ag fields that turn into temporary ponds after an inch of rain or so. There are a few spots like that around that attract birds but even then you may only be talking about 4-6 ducks.
Resident geese are your best bet for hunting waterfowl in Middle TN outside of the Cumberland River.