That is a nice rifle, but I haven't meet a Savage I did not like. You shoot your K31 at 1,000 yards (LOL) you are better man than me for sure.
I still think the OP needs to read up on what he wants to do before buying a rifle. There are no magic rifles out there that will make a world class shooter out of someone that does not know what it is all about, including me.
Not only do I not shoot 1,000 yards the closest range with that distance is over 150 miles away from me.
I do like to shoot benchrest and at my age it has to be F-Class.
Good Luck on whatever you do.