No such thing as too big a bullet. Here is why:
I used a .50 bmg to take a doe a few years ago just to prove a point. I let some friends of mine shoot my Ligamec UltraLite .50 , and afterwards they started joking about what you could hunt with that thing. I said "Anything! Including deer." They simply remarked that it would blow a deer in half. Instant burger. I told them that it would be no different than a .50 cal muzzle loader. Bones and meat are not hard enough to make a 685 grain .50 bmg bullet expand. Even with Hornandy A-max soft tipped ammo.
So to prove my point, I took that heavy @$$ rifle hunting in box blind on a gas line right of way (I know! Natural gas pipeline and an anti-aircraft weapon! Great Idea!) and shot a doe that morning at about 75 yards. Just as predicted, a perfect half inch hole passing through both shoulders with just a little bit of bloodshot meat where the bones desimated in the shoulder.
So, .223 is legal for me to shoot deer with, but I wouldn't. .50 bmg is legal for me to shoot deer with, but I won't anymore ( too heavy and loud!). My beat up Savage 110 in 30-06 is about the most perfect deer rifle and cartridge that I have ever owned. Think I'll just stick with that.