I have deer hunting property in TN but looking to purchase land in Wyoming or Montana in a few years...
So long as you vote correctly you'd be accepted.
Finding land that isn't already bought up by Calidiots is going to be a challenge.
Honestly, I'd just go buy a generic mountain rifle. The barrett fieldcraft was the lightest thing out there but it's out of production. For the 1-2 shots you need, a pencil barrel is still lighter than a carbon, the big weight is in the stock. A defiance an-ti in a carbon stock with a steel pencil barrel would be my default for hunting.
Chassis would be miserable. You don't need to hold a chunk of metal when it's -30*. They don't make good enough gloves for that. Plastic, carbon, wood, etc. is always better. It can vary between 80* and -40* during season.
MT is goofy though, as I have places I need a 1 day hike in, set up camp, and hunt for 3-4 days. I don't even gut, just skin and de-bone into meat bags on the spot, and pack out. Other times I just drive down the ranch road, walk a few yards, fill 2 tags, drive up and toss them in the back. Really depends on what you're after, and it's nothing like what the hunting shows would have you believe. I see more deer and elk on the private places where as long as you can shut a gate the rancher will let you drive all over. Public ground can be a nightmare, and you have to go farther than anyone else wants to walk in a day.
And unless you can afford a buy 20,000 acres, don't count on buying a "hunting place". The animals move, a lot. The best bet is to buy any small place and be neighborly, and be able to freely travel several ranches.