Yes, Montana is a draw for non-residents but it's pretty good odds. Plus you can apply as a party. If I remember correctly two or three years ago was the first time they sold out non-resident big game combo licenses (elk & deer). There is also an elk combo with only the elk tag. I think if you purchase the preference point (not the bonus point) that increases your odds of drawing a big game combo tag or elk combo and all but guarantees it. Maybe someone with more experience with their regs can chime in if I'm wrong. Our backup plan has always been Colorado since you can go over the counter. We just haven't had to use it. The first year we went we basically operated under the assumption we would draw and started our research/planning before we knew for sure. Then we were in good shape when we found out we had tags. We looked at a lot of Google Earth and Onx Maps, called and talked to a couple biologists and read what we could on Rokslide and other forums. Montana is a huge state, so gohunt.com is a fantastic option for getting information and narrowing down the areas you want to look at.