I've used the .30-'06 with 180-grain Hornady Interlockeds to cleanly kill over fifty head of plains game. Never found it lacking in any respect.
When in doubt, use the .30-'06 and you will be totally satisfied.
Note: The 6.5 Swede is a fabulous round and I've killed lots of deer/elk with it, but it is less, way less, than the .30-'06 with equally good bullets. And I apologize for that.
God Bless,
Steve