seriously, I suspect that any of the super premium rounds for SD in heavy bullets would be good. Their supposed to draw 14 inches of penetration on jello tissues? Don't miss the kill zones and limit ranges to the absolute minimum range that you can reliably put every round into a 6 inch circle. There seems to be no reason that you couldn't get a lethal shot into the deer's target zone.
I think that it's kind of minimal. Regardless of my thoughts, people have killed deer for years with them, with .357, 30 carbine... there were people way back when who hunted with the .45 acp that they used for target or other purposes, and used plain old ball ammo. In years past, don't know if it's still that way, but the state ordinances here allowed it, along with carbine, so forth. The rifle rounds stopped at 6mm, nothing smaller allowed. It stopped at .357, with 9mm not allowed.