I would use the 7mm for you expect longer shots and just pick a good 160gr that will work on any game like a Accubond or Interlock.
For closer shots on deer say 200 yards and under the 270win with rem 150gr corelokt SP which is a round nosed bullet is tops and easy on the pocket book too. You can hear a thump when they hit, and as mentioned shoot behide the shoulder to avoid bone and a mess.