Hi Max:
Looks like this query has been around awhile, a you probably have either made up your mind or quit. Just to offer my opine, go with the Remington if you like 'em. The 700 has a great reputation, great after-market support, etc. I personally think the Savage is a better shooter and am not offended by what most consider the ugly duckling looks of them.
I had an Encore rifle in .243 WCF. Got caught up in the cottage industry that has sprung up around them; love the fit when I put it to my shoulder; and all those barrels, etc. are hard to refuse. But after firing 500 rounds of handloads through it, I sold it. I'm not a gunsmith, nor an expert at anything, but I believe Encore actions are "springy" and that they have "give" to them.
I'm a great believer in neck-sizing only for reloading. Half the cases that were fired in the Encore once and neck-sized would not let the action lock after one firing. After two firings, none of the cases would let the action lock. When full-length resized, they would work fine. Headspacing was checked and OKd. Cases that had been fired several times in my Mauser and neck-sized, would fit the Encore fine. So anyway, I know I'm in a small minority, but you can do better than an Encore as far as I'm concerned.
Another thing with the Savage 12/112, is the easy barrel swapping. If you can only have one rifle to keep peace in the house, consider the Savage because you could have extra barrels in other calibers.