My experience with monolithic bullets is pretty much what others have suggested so far. They tend to work better at faster muzzle velocities, one reason I don't generally use them unless velocity is up around 2900, and more works fine--though can't remember using any at faster than around 3550 at the muzzle.
That being the case, what's about the heaviest you'd use in something like a 7x57? Using Barnes data, it looks like a 145-gr LRX, using 7-08 data, would be about as close to 2900 fps as you can get. Using Nosler's data as I guide, it looks like their E-Tip would max at 140-grains.
