sakoron,
Welcome to the Campfire!
Every "all around" load choice depends on several factors, but have killed a lot of big game around the world with various 7x57 handloads. My all-around favorite might be the 156 Norma Oryx loaded to around 2650-2700 fps with H4350--how much powder depending on the rifle. It expands pretty widely, so makes a big hole and kills well, but also retains around 90% of its weight, and penetrates deeply.
But have also taken a bunch with various other bullets in that weight-range. One of the virtues of the 7x57 is that many bullets work great at that muzzle velocity--just as various bullets around 180 grains work great in the .30-06.