I think a heavier bullet in the 338 caliber and up of premium construction like Nosler Partitions, Barnes Triple Shock X, and most definately the Swift A Frame (my personal favorite of three) should do great. Another mild recoiling .35 caliber that has not been mentioned is the .35 Whelen. While it doesn't put out blistering speed like some other fancy magnums, it can still be loaded with a heavy .35 caliber bullet that will penetrate far. I like to think of it as the .308 of the bigger calibers. It doesn't put out blistering speed, but it is that same bullet shot out of bigger guns. I have always been one to use calibers on the small side I suppose, I would probably end up using a .338 Winchester magnum if I was going on that hunt. Shot placement and the ability to shoot acurately outweighs everything else in my book. Back in the day, people killed bears with muzzleloaders loaded with round balls.