My suggestion is from prior experience. Do your research, select a state that actually has some Prairie Dogs. The plague, and 10-80 have taken their toll on prairie dogs over the years. I hear of hunts consisting of a couple hundred shots per day. I consider a good days shoot 1000-1200 shots. I have hunted in Kansas, Colorado, Wyoming, Montana, North and South Dakota, Nebraska, and Oklahoma and Alberta, and Manitoba Canada.
Contact the Wildlife agencies of the states that your are scouting. Then contact the US Department of Agriculture, The State(s) Department of Agriculture, and the County Departments of Agriculture. Don't just depend on Google maps, Prairie Dog Towns last for years in dry aired climates. Some states the non resident licenses are pretty expensive. Some states don't require a license to shoot prairie dogs. In my experience the best time to go is May/June, and August/September The temperature between June and August can be brutal. A popup tent, cooler, Plastic knee and Elbo pads, shooting mat are a must if shooting prone. Everywhere there are prairie dogs there are little spiny cactus. They will ruin your day if not prepared. I like shooting from a portable bench or shooting trailer.
Be sure to take multiple rifles and plenty of ammo. Rarely don't I have a gun failure when shooting several thousand rounds, usually extractors.
If you find a good place to shoot lots of prairie dogs you are most likely going to piss off some local who considers the location his private honey hole. Also expect to be checked daily by the local wardens, and federal wardens. Prairie dogs share the ecosystems of several protected species, IE: eagles, owls, hawks, ferrets, badgers, etc.
Do your homework and have fun.
Nat Lambeth