Get 3 pieces of paper, on each either .260 rem, 6.5x55, or 7-08. Flip them upside down and mix them up, now hover your hand over each piece of paper and when you feel a tingle, flip the card and build that rifle.
all three of those above calibers will fulfil everything your asking of this rifle. Pick whatever one you like and run with it. The 6.5x55 is my favorite out of those above.