Originally, I didn't see this one in your list, but I believe the 338 Federal would be an awesome round for all three. I am not an elk or moose hunter, but really don't see why you wouldn't want a .338 dia bullet with recoil like an '06. My only concern is that you may be limited to yardage with this one. Not as much as say a 30-30, but somewhere around the 200 yard mark would be my personal limit.