I don't have a 7x57... but I have several Husqvarna 4100's. A couple are in .270. Those .270 rifles really like 130 gr Sierra Game Kings. I've taken many deer with the SGK's and I really like their accuracy and how they drop deer "right NOW!"
I also have a couple Rem 700 Mtn Rifles... not in the 7x57, but in .280 Rem. They each have a couple pet loads, but for deer I either load 140 gr SGK or 130gr Speer Hot-Cor. I've had good performance from the hot-cor's as well.
So if I had a 7x57 in the 4100, and I wanted to hunt deer, I'd try the 140gr SGK right off, and would also play with the 130 gr Speers.
If I wanted an elk or moose load, then I'd first try the 140 gr TTSX.