There's a lot there I'd choose, and a lot I have chosen, I used a 308win for years culling goats out to 800m but now days I'd have definitely gone a 6.5 for that job and even the sweed would be hard to beat.
I've enen hunted with a 338lapua too, great LR hunting gun if you had good positions to set up, didn't have to lug it far and used two sets of ear protection.
But for me now I think you want a light gun, a round that holds sufficient not excessive energy down range and good accuracy.
But most LR guns are nothing that I want to take hunting, too big, too heavy and too awkward to carry for long