I once had a delightful little double rifle chambered in .32 Winchester Special of all things. It was accurate, perfectly powered for deer and the like, and at the time, at least, commercial ammo was very inexpensive, if not widely available.
I would think pretty hard about a .30-30 in your situation. Again it's perfectly powered for what you say you will hunt, components are never going to be a problem, and the factory ammo is everywhere, cheap as all getout, and usually stunningly accurate. Probably would even make up into a lighter rifle as well, so you wouldn't need to lug extra weight through those woods and hills.
Certainly not as exotic as a 7x57R, .333 Jeffery Flanged or even a .33 Winchester, but sometimes plain old plain old can be good.
Or there's the 9,3x72 (not 74) R just to be contrarian...
