I hunted with a 7x57 for a time, and i liked it pretty good. I remember i shot one heck of a big bull caribou with it, useing a handloaded 175 grain Speer magtip. It did a great job!!
I also shot a few coyotes with the same gun and load, it was easier on the pelts than a lot of smaller cals..
Personally, i'd stick with 150 grain or heavier for elk with a 7mm-08, or 7x57..
Drilling Man