Why the KS side? MO has CCW and lower taxes. Worse roads though.
As most have already pointed out, you have the Hole. I shoot there often.
On the MO side, there used to be Claycomo, but it shut down last month, doubtful that it will reopen. And the new range up in St Joe, but that can be a bit of a drive depending on where you're going to be at.
Otherwise it's state conservation ranges.
Controlled: Parma Woods in Parkville and Lake City out in Independence/Blue Springs area.
Uncontrolled: Pigeon Hill in St Joe, Golden Valley in Clinton. A few others scattered about, but they're smaller and farther away.