Having been stationed there for the majority of my service in the Air Force, I can tell you there are a few public access spots within about an hour of Knob Knoster/Whiteman. There is no hunting on the park just north of base. I took my first archery gobbler on one of those spots back in 1993. Just get on the MO DNR site and do a search of the public lands around, using Whiteman, AFB as your best/biggest landmark.