I'm from the same area, and have hunted alot of the public land around you. If I were you, I'd try hitting those public land spots when your short on time and get out to Missouri when you've got the whole weekend. If your trophy hunting then thats a different story, Ive only seen a couple real nice bucks in that area.
Another thing to think about, is if you have your Bowhunters certificate apply for access at shawnee mission park. I never did, but Ive seen some nice ones out at the bow range!! lol
Really the worst walk-in hunting is clustered around the big cities. If you get a chance, and venture out west too! theres some exceptional hunting, even mulies!
That being said, if your in it for the meat and not looking for a giant. Ive had real good luck out at hillsdale and clinton.