This is intended as a LR hunting rifle... correct?
Purely from a ballistic standpoint, shooting the same bullet, the difference between these three rounds...say at 1000 yards is less than 100 fps.
The larger rounds recoil more.
I can take my pick from several light and handy 300 WM rifles tomorrow that will perform well at that range for under a grand, and abundant factory ammo anywhere, and that's about my recoil limit without a brake.
Since all three perform well and are equally capable, the question I always ask myself is how much unnecessary screwing around with more exotic stuff am I willing to deal with to end up with the same result?
Just some thoughts to consider.