Well Kansas has the benefit of being utterly flat and also quite homogenous biome wise. Even though it has no people I' assuming without looking at it that the entire state has been chopped up into square mile sized squares.

Yeah, if "road" is satisfied with tractor path that leads back to a road, that sub-mile distance doesn't seem hard to believe

Kansas genuinely has a ton of paved and gravel roads all across the state. It's like a gigantic grid. Oddly high amount of street-view coverage too on google maps: https://maps.app.goo.gl/EyBFj9BNQa8nhUcE6

The Kansas landscape is very underrated. Just infinite sky in all directions.

I agree about that landscape. The state is not as flat as people think it is either. Very scenic. I worked the southwest corner of the state years ago and always loved topping a local high spot. We were surveying and out there we could set a flag a half mile away and sight off of that easily with plane table and alidade or theodolite. The atmospheric distortion would get you on a humid day or if you were shooting across a wheat field with all the transpiration but otherwise it was clear with minimal shimmer.