I have:
Weatherby Vanguard .308
Savage 10 .308
Ruger M77 mkII .30-06

My favorite of the 3 is the savage, but for half the price the Weatherby/Howa is just as accurate (both sub MOA) with almost as good a trigger. The only real downside to the Weatherby is the cheap plastic stock, but I like that too since I can carry and bash it around and not really care if it gets scratched. The downside of the newer savage 10 is the center feed magazine, which makes it a touch more difficult to reload quickly.

Oddly Both guns recoil lighter than my 12# AR-10, and are several pounds lighter.

I'd go .308. Less recoil than .30-06, more fun to shoot more, cheap ammo. Heavier bullets than the .270 to kill larger game.