In South Dakota you need a license to hunt coyotes. In the fall there are plenty of uneducated coyotes around but private land for a local can be very hard to come by let alone an out of towner. There are a few sizable chunks of public ground but I wouldn't waste my time with it. If you do come out here, realize that the 3rd Saturday in October marks the start of Pheasent season, which is basically a holiday here. All bets are off then, thousands of eager shot gunners launching lead at anything and everything really gets all the wildlife stirred up. It's much easier both with public and private land starting in January when all the other seasons are over, however usually by then the coyotes are so wild it's a real crap shoot. I geuss pick your posion.
It's a great state with great coyote hunting and I certainly don't mean to scare you off just realize there are plenty of challenges to face. I'm sure this all can be said about a lot of places. You might try to plan something in the Black Hills, public ground and if your willing to work you can get off the beaten trail where the hunting tends to be better.
Just an opinion that is based on conversations with others but you may try Utah or Montana, I hear lots of good things about both.