Seraphim, I forgot to ask, "What Savage 10 model are you considering?"
Notwithstanding my earlier gratuitous criticisms against Savage (meant only to aggravate that arrogant and now-banned "John Chrysostom" jerk), the Savage 10 is a fine rifle. One of my mentors loaned me his customized Savage while my competition rifle was in the shop for upgrades. It certainly outshot my current LR skill set (our nearby range reaches 800+ yds).
That said, if you are serious about LR/ELR the Remington 700 is ubiquitous, used rifles in good condition are quite affordable, and after market upgrades and services are legion—IMHO giving it the edge.