Do all is a tough rifle. On the two extremes of the game spectrum you're either blowing stuff up or wounding animals / not finding them. That being said, a hot 6.5 or 7mm might be the ticket.
To me, for a one do all, I would take a 6.5 PRC in something carbon and below 7 pounds dry. But again, you're probably going to blow up prairie dogs and maybe not find brown bear (I know, an elephant has been killed with a .22).
That being said, I do two guns. 5.56 and 300 PRC.
ObiWan, just being the “devil’s advocate”......to which cartridges suggested by some, are you referring when you say “blowing stuff up”? memtb