If you were happy with the 30-06, and would be again, you might want to consider 7.62x54. There's no serious difference between the two and x54 is much cheaper to shoot.
I'm not saying I would relish serious Brown Bear hunting with x54, but it could certainly be done. Doesn't really sound like you plan to do any of that, either.
Corrosive surplus is cheap and available, but serious hunting loads are few and expensive. I don't know of anyone who uses this cartridge as their primary hunter. I used one for a few years (had a Mosin Nagant sniper) and it was a great shooter, but you have to reload to get reasonably priced hunting ammo, and what may show up on the shelves will not offer much variety.
If you like the .270, you might consider the .280. Except for the big bears, it's a great cartridge. CB