I imagine that the only thing you could do would be to aim farther back, which will reduce the damage to the front quarter meat, but you risk liver or gut shooting a deer which can mean a long tracking job. I can only imagine what the .300 Win Mag would do. I shot my deer this year with my .30-06 up in MN, and I was actually quite amazed at the mess that bullet made. My shot was at 125 yards with a 150gr Cor-Lock. The deer was a yearling doe that dressed out at about 75-85lbs (and you can cut the round steaks with a butter knife, mmmm

), and she turned toward me right as I shot, so the shot was maybe 25 degrees quartering toward me when the shot broke. Hit her right at the far back part of the right shoulder, busted 3 ribs going in with no exit wound and no recovered bullet (looks like it completely disintegrated). Lost about 1/3 of the shoulder meat on the right side. I think that maybe next year I'm going to go with a 165 or 180gr bullet to slow it down a little. This being the case, I really don't think that there is much else that you can reasonably do with a magnum. Fast bullets do a lot of shock damage.
When I was up for MN's rifle season, my brothers father-in-law and uncle-in-law both were hunting with SKS's (7.62x39 Soviet) shooting Wolf 123gr soft points. They took 3 deer between the two of them, one at almost 200 yards, and the difference in meat damage between the 7.62x39 and my .30-06 was dramatic, and their deer were just as dead. Food for thought.
Mike