Well,
Over the last 10 years there has been a drought. That is hard on furballs to start, much less food and water, and the ag types who want the grass for their business, feeding livestock, encourage poisoning...
Drop a line north south thru Pierre SD and Grand Island NE and you will need to be west of the line, pretty much. Yes, you will find a few east of their, BUT the population of people makes shooting the long shots ill-advisable.
SW corner of KS there is Cimmaron Nat. Grassland. Population varies, see paragraph #1. I would work the chambers of commerce in that area by phone. No experience with KS dept of wildlife. Extension is always a shot. Better, USDA/ADCA (United States Dept. Ag, Animal Damage Control Agents) the government hunter/trapper. Ask in the farm stores. NE. Real funny. Law passed around 1900 required 100% kill of p'dogs each year by Nov 1. That got expensive so no one did it much, but if you ask they worried you were a snitch and got cold and hostile and ... Law got repealed, 1996??? maybe. Attitude remains some. Nothing organized. Shame with Hornady in G.I. Very N.W. corner of NE, Toadstool Nat. Grassland. Awful long trip. Rosebud would be closer. But west of the line good possibility. Luck.