Mehorn,
I'am assuming that you are looking for a hunt next year as rifle season has been over for a few weeks. I'd suggest coming in a couple days before rifle opener and bow hunting. Then rifle hunting opening weekend. The rut is usually in full swing the week before or during rifle season.
Link to Mo public hunting area's:
http://mdc4.mdc.mo.gov/applications/...st&txtAreaNm=s