First there are numerous areas of the state that have few if any coyotes. Areas where you find lots of sheep and goats will have had serious predator management for years. They usually have tons of grey fox in those areas though due to coyotes not pressuring them.
I hunt all over the state and while NE Coleman county is not heavily populated with coyotes they are plentiful enough you should be able to accomplish your goal. The population in that area is growing due government getting rid of Mohair subsidies so not as many goats being raised. The further north you go from there the more coyotes. Go south and west less.
"Anyone taking up handloading necessarily plays with unknown factors and takes chances. But so does anyone who drives a car,goes to a cocktail party,eats in a restaurant,or gets married."
Jack O'Connor 1963