I'll encourage you the way of the traditional. However, in Kansas, your best chance at a Western kansas Mulie (drawing a tag), is to do muzzleloader. With that in mind, there is only one answer. The Savage MLII has the ability to reach out to 300 yards with SMOKELESS loads. That's right, smokeless. Doesn't even need cleaning after you've shot. Sometimes, I've found its just a little too convenient.
Both these were shot right at the 200 yard mark. Not that I couldn't have done this with my more traditional fare, but it would have been much harder.