IMO the 7x57 is one of the best cartridges ever designed. With heavier bullets it has a tremendous ballistic coefficient which makes it flat shooting at long range. It will do pretty much anything you need to do but with less recoil. Not the best choice if you must rely on factory ammo.
I am sure some gun makers offer the 7x57 in current bolt guns. The CZ 550 FS used to be made in 7x57 but it was dropped about 6 years ago so it must not have been a good seller. Might find a used one.
I prefer old school thinking on my bolt guns.
Don't dismiss the #1 so quickly. Very handy and one of the most beautiful rifles made, IMO.