I am heading back to that area soon myself. Please post your results.
I know that this report is too late for you, but maybe someone else will benefit.
We hunted Chamberlain in mid November, with great results on private land (Dakota fish and Pheasants)
http://www.dakotafishandpheasants.com, out of Reliance. They had about 500 acres of good land, very casual and low key. Not fancy, but good habitat and nice people, and they worked hard to help us get our birds. Reasonable price. We had 2 people one day and three the next and it was perfect for us. Limits both days, but we worked for it. (we also missed alot) We hunted ditches on the way there and on the way home. Only got one the first day of ditch hunting, but we missed quite a few. I did good the last day, before we drove back. (I hunted by myself and got three in 2 hours; my companion would drop me off and I would walk entire ditch side, then she would pick me up at the end). We did not try public land, just ditches. I was amazed at how many birds we flushed when we walked entire ditches.
Great lodging at Americaninn in Chamberlain. Very nice rooms, reasonable price,and dogs allowed in the rooms. We ate dinners at Charlies Bar, which was great.