Lots of good suggestions; the easiest and certainly fit the bill would be a 270 AI, the 280 AI is just barely more powerful and no critter at any range would know the difference. However, if you want something that would max out the .473 (standard) bolt face look at the Gibbs line of wildcats (all based on a 30-06) 6.5, 270, 7mm, 30 and 338. Below is a quote from a guy running a 338 Gibbs. I have a 338-06 built on a Colt light rifle that I have entertained the idea of converting to a Gibbs, but at 7.25 lbs running a 175 HH bullet at nearly 3000 fps it already has excellent performance. If I were to ever build a super light, kill anything rifle for North America the 338 Gibbs would be hard to beat.
I now have a 338 Gibbs with a 26" barrel. With Re17 and 210 gr. Swift Scirocco's I'm getting 2950 fps. Although primer pockets are good, this is max IMO. I'll settle on 2925 fps