While there isn't as much public land, there is a great deal of PLOTS land. (Private Land Open To Sportsmen) It's a Game and Fish subsidized program to keep CRP and farmland open so others can hunt it.
If you check the map here --
NDGF PLOTS Guide -- it may help some. Just zoom in on the center of the state.
Many farmers/ranchers in the area would likely welcome coyote hunters, because we do have more than our share of them here in the center of the state. PLOTS land is open, you don't have to have permission, it is all signed, and there is a little booklet available from NDGF or any license vendor showing you where it's all at. However, you're going to do far better by determining whose land your on, and asking permission FIRST regardless. If you ask to hunt the PLOTS land, it's going to open up a conversation between you and the landowner, show respect for the landowner on your part, and give him the chance to say, "Well it's open, but if I was gonna shoot a coyote, I got a quarter over here that I just pulled my cows out of, where I been seein 'em pretty regular."
If you get out there and drop a few yotes for the guys, try to chase them down and make a point of showing them you are succesful, or at least letting them know you have harvested a few. Be sure to thank them, and if you're staying locally, invite them to the local tavern for a cold beer or two when they get done for the day. Many North Dakotans like a cold beer... There's even a few around still that will drink them warm. Folks out here are for the most part, pretty open and receptive to out of staters coming in to hunt as long as they are shown some respect. Get on their good side, take out a few yotes for them, and most will ride to the neighbors' with you to help you get permission if they got yotes bothering them that might be on the neighbors ground, or if the neighbor is having problems, or if he's got more yotes over there. That's just the way they are.
Not sure what public land maps you're looking at but there are other options that may or may not show up Such as
Nature Conservancy Lands. The John E Williams Preserve just outside town here is open to hunting, but you have to stay on establish trails or walk. Good coyote territory there! The Davis Ranch 30 miles to the east, I believe is open, and there's about 7000 acres there if my memory serves me correctly. All virgin prairie, also contains the highest hill in Sheridan County, it's not just flat ground. John E Williams surrounds a big slough, so it's not real hilly.
US Fish and Wildlife Service has a good number of preserves in the central part of the state as well.
Biggest problem you are going to find this year on public land anywhere in ND is however... If isn't leased for haying, grazing, or farming the grass is going to be chest deep on it, and you're going to have trouble seeing incoming yotes. You'll probably do better finding a hayfield, grazed down pasture, or a harvested field here in a few weeks.
As for the western part of the state... there are decent coyote numbers out there. There's just more of them here in the central part of state! It is very rugged country in places. There is a lot of private land mixed in with the public land, and it can be difficult to tell where you are and what you're on at times. There again, if you run into any of the ranchers out there and tell them you want to shoot yotes, they'll probably invite you out for breakfast and tell you that you can shoot 'em out the kitchen window. They'll tell you where to find them, and give you he|| about not shooting enough of them too! Then they'll want you to take home a truckload of deer and antelope out of the yard as well.
If you're wanting sightseeing and good yote hunting, coupled with the ocasional close call with an oil tanker on roads you wouldn't think you'd meet anything... Western Part of the State is the place to be.
If you're wanting yote numbers and aren't afraid to make a few contacts to get them... Central part of the state is going to afford you better numbers.