If you can find an older Rem model 7 or 700 mountain rifle in either 260 or 7-08 you will have your "do everything" gun with almost no recoil & light weight.

When I say "older" I mean before the "Rem-Lin" days,

The 260 Mountain rifle was my all time favorite & has less recoil than my 243 Ruger but was much more versatile for game selection.