Here is a link to some of the hunting areas.
http://www.ngpc.state.ne.us/wildlife/places/wmas.asp http://www.trailsandgrasslands.org/oglala.htmlI used to live in North Central Neb. and there are some very good public hunting areas in the North Central to NW part of the state. I have hunted in the Oglala National Grasslands for both Mule deer and Antelope and had a great time. Antelope season starts in August and deeron September 15, so you can hunt both at the same time. You have to go to the very NW part of the state to get into good antelope hunting (about a two or three miles from SD and Wy.)
That is my 2 cents