Neither. I'm about as far away from being a mag fan as one can get. A good .30-06 would take any of the 3 animals listed just as easily from just as far away as any ethical hunter should take a shot from and at around 1/2 the ammo cost! But if you are dead set on falling into magnumitis, you pretty much answered your own question in your post. Either one will be suitable for the 3 listed animals and more. It would ultimately be up to whichever rifle you felt best with at your shoulder.

Edit to add: Nice looking little Beagle Hound in your pic there cool!