As a point of reference to a couple of the bullets I suggested here's an example of what I am talking about. Different cartridges, but using the E-tip, Partition, and Accubond brand bullets I highly suggest.
6mm Remington 90 gr. Nosler E-tip hand-load: Son's first elk was a big old cow broadside at 350 yards. Shot her tight behind the right shoulder and the bullet expanded and exited the middle of her left shoulder. She staggered 20 yards and tipped over.
6mm Remington. 100 gr. Nosler Partition hand-load: I've killed many antelope, deer, and one elk with this bullet in my 6mm Ruger 1B. My first and only elk with it so far. 30 yards broadside and I shot the bullet center of the right shoulder. The bullet penetrated the shoulder, lungs, and exited the left side just in front of the left shoulder. The spike bull staggered a few steps and was standing with his head down. I shot him again behind the ear, but he was dead on his feet and just didn't know it yet.
280AI 140 gr. Partition & Accubonds hand-loads. First animals were a nice cow elk at 450 yards with a 140 gr. Partition shot tight behind her shoulder. She staggered a few steps and went down. Nice whitetail buck 140 gr. Partition at 200 yards shot behind the shoulder and dropped on the spot. Antelope doe at 300 yards one shot with 140 gr. Partition and dropped immediately. My first and only grizzly bear I used my 280AI and 140 gr. Nosler Accubond. One shot tight behind his right shoulder broadside at 158 yards. He spun 180 degrees into the shot, did two summersaults, and was dead. He never even twitched. Bullet exited his left side.