For a non resident the best chance of getting a tag is in the North East part of the state....I haven't spent much time up there but I do know there is a lot of ranches. I'm in the South West part of the state and have a tough time getting a buck tag in the draw and my dad who is a non res has yet to draw a tag for a buck. If you want a real hunt get some doe tags, most of the time the bucks are pretty laid back during season and you can get pretty close to them easy enough, the does seem to be high strung all year and getting super close can be tough on a spot and stalk. Long shots aren't needed, I take them because I have the kit to do so, but I really like to be inside handgun range on antelope because if you just set up and ranged the animals you can have all your tags filled in a morning pretty easy.