The trade-offs between cartridge choices are between barrel life, recoil management, and wind drift. Recoil management goes beyond not flinching and includes a consistent hold to reduce different rifle movements as the bullet goes down the bore. For most shooters I've trained, .260 Rem (in a long action and throated long) is close to the sweet spot. The 7mms resist the wind better, but require a higher level of shooting discipline and better precision in rifle machine work to have the same accuracy in the absence of wind. Conversely, the 6mms give up a bit in wind drift, but are more forgiving of errors in recoil management.
Of course, Long Range (800-1000 yards) favor the cartridges that handle wind drift better, where MidRange (300-600 yards) favor those where inherent accuracy is easier to achieve.
In just about any case, maxing out the rifle weight for the discipline with the fattest 30" barrel you can make weight with is probably the best choice. Barrel life favors smaller capacity cartridges with the longer barrel, recoil management favors the heavier rifles, and inherent accuracy favors the fatter barrels.
Of course, Long Range (800-1000 yards) favor the cartridges that handle wind drift better, where MidRange (300-600 yards) favor those where inherent accuracy is easier to achieve.
In just about any case, maxing out the rifle weight for the discipline with the fattest 30" barrel you can make weight with is probably the best choice. Barrel life favors smaller capacity cartridges with the longer barrel, recoil management favors the heavier rifles, and inherent accuracy favors the fatter barrels.