There has to be more to this story than the brief accounting here.
Are you looking for something with a "bigger" bullet for worldwide hunting, but with a little "lighter" recoil? If so, you want a 9.3x62.
If you want a truly useful worldwide-kill-everything rifle, then a 375 H&H.
If you want to hunt everything everywhere except the actual BIG critters, then you want a 30-06.
The three that you mentioned originally all seem very odd to be worried about available ammo/rifles. If you're set on one of them, then the 8x57 is the only one to consider for availability.
