SD can be good in the very late season but it can get pretty darn cold. I've done the Dakotas instead of Kansas due to time/distance and I hunt with a group of guys who have contacts in those areas. The second hunts in December can be pretty tough as temps generally are in the teens and 20s for highs but the last trip had only one day above zero. We really lucked out as winds were mild for the most part.
If going on my own, I would head south due to weather and bird options. One doesn't see below zero for highs very often in Kansas with above freezing weather common. That is makes for much more comfortable hunting for all. Storms also seem to be shorter in duration with less difficult access after storms. On the other point, I can hunt most anything found in the Dakotas in MN but quail aren't available.
