Decisions, decisions. Let's look at your choices
I happen to own a Model 11 FNS and a Remington 700, both in .308. They're within an inch of one another in length. The Remington weighs 7.8 lbs set up for the field (scope, mounts, rings, strap and 4 rounds of ammo). The Savage, likewise set up, weighs 8 lbs, so that's a wash.
However, my rifle on the Savage site, shows a net weight of 6.5 lbs. The scope, mounts, rings, strap and ammo bring the weight to 8 lbs. That Model 11 Lightweight hunter you're looking at, shows a net weight of 5.5 lbs, and we can assume that all the accouterments will bring the weight up another 1.5 pounds, for a field weight of 7 lbs. Not bad at all.
The Ruger shows a net weight of 5.75 lbs, but you don't need mounts as the Ruger rings will suffice. Field ready it will weigh in about 7 lbs also.
Both are capable of acceptable field accuracy. They will weigh within ounces of one another when ready for the field. MSRP of the two are fairly similar and I'm sure that you can do better than MSRP.
So, the questions becomes: Which one do you like best?