Kinda surprised you had to walk up a few hills to realize a 13 pound guns is a bad idea for mountain hunting.
The Savage 110s are generally very accurate rifles. Being left handed I have and do own a few of them and never had one that would not shoot well. That said, I also really like the Tikka T3 lite models. Good shooters and actually lighter then your Savage option. If you have enough sheckles and want the ultimate Mountain Gun, check out New Ultra Light Arms. Pretty much my go to hunting rifle for the last 10 years.