There's no way I would go with a 270wsm. The ammo is more expensive and less available.
I think you're on the right path with the 308. The 308 is plentiful, cheap and maybe the best all around hunting cartridge. It can take bear, hogs, deer, coyotes etc. depending upon the load. Plus, it can do it all without hammering your shoulder with crazy recoil.
If you're set on the 270 get it and steer clear of the WSM. I have a buddy who bought a 300 WSM and I own a 300 Win mag. The recoil difference is really small, but his ammo costs almost double what mine does. He also has a harder time finding it, because it's a niche cartridge.