My pre-Accu-trigger / Accu-stock Savage 116 in 7mm Rem. Mag. is amazingly accurate in the same way. I pull it out and shoot quarter sized groups dead center on the target whenever I want to prove I still have it.
I use IMR-4831 to load my 7mm Mag's. with great success as well as H4350. You might want to try some of it too. I've found that the 4831 is even more accurate than the 4350.