Any of the three would suit your purpose, 400 yards isn't what I'd call long range though.
HOWEVER. I sent my wife to Gunwerks LR Shooting school where she got hooked on the 6.5 CM. Had to buy her a Ruger PR in 6.5 CM.
Then I got hooked and bought a Ruger American Predator in 6.5 CM.
I load 140 gr. ELDs., the remaining energy at 600 yards is 1365 ft lbs. at 600 yards, not the 139-300 listed above. (My MV is 2750).
The 6.5 is one of the best long range rounds you'll find, with my load it remains super sonic to over a mile. (G1 BC 620).
More then adequate for deer, lots of LR shooters use them on elk.
Its gonna have a much milder recoil then the 7-08, or 308. That was one of the selling points for my wife. She broke her back and has 3 rods between her shoulder blades and can't handle much recoil at all, but she can shoot her CM all day without discomfort.