I’d agree with a sporterized Swedish mauser in 6.5x55 scoped with something decent. Add QR rings and a good scope, make sure to zero the irons as well, and you’ve got yourself a solid gun that will hold up to as much rattling around as you like. If you want something slightly more refined you could find a husqvarna commercial mauser for less than an Axis. You’d be limited a bit in caliber, but it’s not going to be overkill on an animal that can approach 85 plus pounds on the regular.
Sounds like a job for the savage axis.
It’s no axis but this one comes with a free timney trigger
https://intersurplus.com/collections/6-5-x-55/products/swedish-m96-sporter-in-6-5x55-timney-12
A few others on there with Timney triggers as well.
Good rings and a made in Japan bushnell from the EE and you are probably in for less than a new axis package or ruger American
I would use that Montana of yours in 257 Roberts. One of my main hunting rifles is a Montana. It has bounced on a quad (cased of course) for many miles and has been carried through bush and over tough terrain for hundreds and hundreds of miles. Rain, blizzards, -30 to plus 30, it has never failed me. I have carried it so much I've worn through the outer layer of the stock around the wrist and smoothed out some of the texture in a lot of other places.
Use a good scope, good mounts and a good case and it will be fine.
Bought an original axis in 223 when they first showed up in Canada. The package with the Bushnell scope. I tightened down the bases a re-mounted the scope. Used mostly as a gopher/farm gun. Bounced around on quads, sleds and tractors. Everything is original and bit beat up but it still shoots 3/4 or better moa even with the crappie trigger. Never had to re-sight in and has 3500 plus rounds fired. Darn good for a $300 dollar gun.
Trust me, not shy to use my Montanas. They see a lot of bushwhacking in hand in all types of weather each year.
And I do love carrying/shooting them so using the 257 might be the best choice.
I will check out some of the budget rifles mentioned and having a 223/22-250 would be useful for general practice as well.
As usual, more rifles is the solution!
Instead of buying a cheap new rifle, consider a Husqvarna, Gustav, Parker Hale or similar commercial Mauser in good condition. For 5 or 6 hundred bucks you’ll get a WAY better rifle than the cheap crap they sell at cabelas in that price range now.
Just my 2 cents.