RE: Which caliber fits the bill???
out of the calibers you list go with the 7mm-08, my reasoning for this is bullet considerations
another caliber to consider should be the 260 rem, in a rem model 7, bought one for my wife and let me tell you this is one sweet shooting piece, my 10 year old grandson is also shooting it, when i bought it i was looking for a 7mm-08 and found this gun and a great deal, the only thing missing is the broad bullet selection you have with the 7mm/284 cal.
best of luck, let us know what you end up with