I have only every shot deer with two types of guns, a 30-06 and an in-line blackpowder rifle, with most of my deer falling to the 30-06. I have only ever had one deer run out of sight when shot with the 30-06 and he only went about 75 yards. A few deer ran just a little ways with most deer falling in their tracks. If I hit the deer anywhere close to right, they go down right there and I can't ask for any more than that.
Now I have never shot a deer past about 90 yards so I can't say what would be best if you are shooting long distance. I do use Federal Premium ammo with 165 grain Nosler Partitions.