UPDATE FOR KS: The official position of KDWPT is that you have to have permission to shoot on, from, or onto any property. What that entails: for any county or municipal roadway, the adjacent property owner controls rights up to the center-line of the roadway, so you must have consent from the landowners. State and federally maintained highways, however, are state property, therefore fall under the jurisdiction of the KS secretary of transportation. The S of T in KS has a no exceptions policy of "no permission to shoot" for anyone.
So none of us were right. The rule is that if it is a state or federal highway, you must pull off onto the adjacent property, leaving the state or federal right of way. HOWEVER, that does not include all paved roads, only state or federally maintained highways, which will be labeled as such. County "highways" and paved roads are fair game as long as you have permission from the adjacent property owner. Dirt roads are of course not state or federal property, and therefore the adjacent property owner controls hunting/shooting access on the roadway.