You're going to find that if you buy your license and just "go ask landowners", you'll probably get permission without any problems.
On the other hand, almost all of us (rural kansans) have a plan to either deal with coyotes ourselves, or have a son, uncle, cousin, nephew, neighbor, etc etc that are coyote callers. There's always SOMEONE in the loop to hunt coyotes on pretty much every acre I've ever been around, which includes pretty much every "region" of KS.
So you're probably not going to get any response by hanging out your shingle. Kansas farmers are usually willing to ALLOW coyote calling, but I'd say that if anyone NEEDS coyotes taken care of, they already have a system to do so.
If you REALLY want to hang your shingle out there, then I'd recommend you apply to become a Nuissance Wildlife Damage Controller in the state of KS. This puts you on a public list that Kansas Dept of Wildlife and Parks will refer anyone with problem animals to call.
Frankly, the way things are going with deer leases around the state, it's even getting hard to find acres as a local. I've been "bumped" off of patches that I've hunted for over a decade, because the guys that buy the lease for deer hunting don't want coyote hunters in there, even after deer season (Fine by me, doesn't hurt my feelings if coyotes tear down their fawns and hurt their chances for a hunt in the future).
There are even guys offering "coyote leases", can you believe that? The idea is that they are a step between a "do-it-yourself" hunt, and a "guided hunt". They scout and keep tabs on where dogs are showing up, then let guys come out and call them for a nominal fee. Frankly, I see this being a great system to educate coyotes to avoid calls.
Good luck with it, but I gotta say, I wouldn't hold my breathe for someone to respond "yeah, we got way too many coyotes, come on out".