Altho I've shot only a few 180's thru my 30-06, with the spread of game you suggest, I would suggest using Rem Core Lokts in 180 on the deer and bear and going to a premium 180 for the elk.
On deer the core lokts will give you pass thru shots at any reasonable angle (I've never shot a deer in the ass so I don't know about that) and, in truth, using the premium bullets on elk is just to make you feel better.
One hint, in case you didn't know, when you buy your hunting ammo, get several boxes of the same lot. Store bought ammo can vary from lot to lot.