My apologies to the OP, but I have to ask: if recoil is an issue, why not go less than a 30-06 when several smaller cartridges can perform similarly? 308 has been mentioned, but there's also the 7-08, 280, 270, and the 6.5's that are really interesting and developing quite the reputation for game getters. If weren't stuck in Alaska and having to hunt big moose and maybe a bear (poor me), I'd be all over a 6.5 something.
