I'd think that one possible option would be to dig a hole and shovel them in it.

I'm all for sustainable harvest and for responsible wildlife management up to and including taking care of excess prairie dog towns...don't get me wrong.

Last time I was in Wyoming on Bureau of Land Management property there was a decades old eyrie (nest) for large hawks that produced young every year in the Red Desert for as long as I've been alive. There were no active nests (vacant primary and alternate) and almost no prairie dog towns either, yet there were tons of holes. Was it poison or lead toxicity that caused the absence of hawks? I have no idea. What I do suspect is that someone came out to OUR LAND, BLM land of the citizens of the USA and wiped out a prairie dog town of about 1000 dogs, enough to feed an entire ecosystem. This land was not private property and it wasn't injuring a cattlemen or rancher's business. It was just thought to be helping the world by slaying animals in the middle of nowhere for purely recreational purposes with no harvest, no pelts taken, no use reclaimed by the taking of the animals lives.

And I've preached enough so I'm done. I'm just trying to illustrate the behaviors that will give sportsman a black eye in the end.