Steelheader

I would like to put in for a non resident couses deer tag with a good chance at getting drawn and also fair chance of at least having some chance at a mature buck. We were going to put in for one of the 36's probably 36b but the more I research the more I'm concerned with safety in any of the border units. any suggestions on other units with good draw odds and enough public land where a couple of guys hunting hard might have success?