Charlie,
I think you may want to consider another bullet for bear hunting. I think the 225 grain Barnes HP will not give adequate penetration. I will give you the load recipes I used to use on Florida hogs in a 44 magnum. The first one was with a Winny case, remmy 2.5 primer, 240 gr jsp, 24.4 grains of w296 powder and an oal of 1.535 inches for approx velocity of 1500 fps out of a Win 94 and NEF HandiRifle, loaded with a Lee Classic loader. Lee has since reduced the load to 24 grains compressed charge with same oal. The load is stout so make sure you get a tight crimp on it.
The other load I used is a little more forgiving. Winny case, Remmy 2.5 primer, Hornady .430 265 gr FP, H4227 powder 20.8 grains, oal 1.535 inches. You will get approx 1300 fps out a revolver, and about 1500-1550 fps from a rifle. Either of these loads will be more than adequate to flatten a black bear. The 265 grain load I imagine will give you a complete pass through since it was designed as a rifle bullet. Hope this helps.
ST762