Actually, I didn't specify Savage or British, but I'd use either .303 on black bear.
In truth, most antelope hunts are as much a road hunt as anything. You can try to spot and stalk, but as often as not you bump into them just over a rise in the two track road, and they are standing at less than 200yards, or running broadside at 50yards, and for that a .30-30 or SKS will do just fine.
You'll probably never NEED a gun. I hope you never do. But IF you do, you will need it worse than anything you've ever needed in your life.
IF we're not supposed to eat animals,
howcome God made 'em outta meat?