I won't tell you where to pick but.....you need to go where nobody else wants to go. I've drawn NM 4 times in 6 years. Mule deer mostly. I got sick one year and didn't go. I even kept the tags to frame them, haha. Muzzy and Archery are your best bets. Everyone has a rifle. Harder hunts, better country, and you suffer but it's fun. Like every piece of advice says....get away from the roads and go further in than just a mile or two. You'll need to be in decent shape though, so there's that. I'm 51 this year and I got a muzzle loader tag for Mulies in 22 this year. Looking at some rugged territory so I slowed/stopped drinking the last three months and working on the knee strength. Nobody will help you, you have to do the research yourself and just get out there to discover the state.