I believe that non residents can hunt mule deer in unit 16, but they must draw an archery or muzzleloader permit for whiletail first. This is the way I understand it. Here is the link to the wildlife and parks, look under Schedule B.
http://kdwp.state.ks.us/news/Hunting...-and-Fees/Deer
However, the majority of our mule deer are in Unit 17.
Hope this helps clarify things.