My apologies if I misunderstood your post. To me, it "clearly and to the point" stated that the H&H was "too much gun for whitetail hunting" and asked for alternate ideas. I thought you were asking for other cartridge choices.
I think that describing a cartridge using phrases such as "best all around" and other similar terms leads many people to assume that it is perfect for everything. Obviously, nothing can be perfect for all purposes, and describing the H&H as a do-it-all cartridge simply means that it can be used effectively for any type of hunting. Of course it is going to be marginal or merely adequate for the largest game, and more powerful than necessary for the smallest, but it will hit hard enough for the elephants and still shoot flat enough for the antelope.
If the damage to which you were referring wasn't bloodshot meat, then how bad was it? I use 300gr bullets for everything in the .375, and even the softest, cheapest slugs don't cause damage that I consider excessive. We are shooting at these critters with the intention of killing them by poking holes in them with bullets. I just don't think it's essential that those holes and the damage they create absolutely must be the bare minimum that will kill the animal. The entire idea smacks of the silly debate that was so popular years ago in the gun rags, where many writers insisted that a bullet that exited an animal was "overkill", because it didn't expend all its energy inside the body.