The best results for my Remington BDL was a Federal Premium 150 grain. I have not used that gun however for at least ten years, and there might be some better ammo for it. The PMC Barnes X, and Nitrex ammo might be an option as well.
Come on Moosie, everyone knows the ultimate deer rifle is the .17 mag. I used to shoot the 308 until I saw the light. I now alternate between the 17 for long distance shots and my pump Daisy pellet gun for anything under 300 yds.