One of my hunting pards has used nothing else for years for moose, elk, black bear and deer. His experience and not mine, but he reports that the LEE Improved Minie is the cat's meow. It has a broader flat portion (meplat) on the nose and a little thicker skirt to allow good accuracy with a little larger charge. He sezz for best accuracy fill the base hollow with lube, too. In both his 58's he's using the "oversize" version and 80 grains of 2f.
Like I said, all second hand, but I've never seen him need a second shot for anything. If I was going to use one, I'd sure try his methods in my rifle before any other. I've shot them a bunch and can confirm his accuracy claims, but I just haven't popped game with them.