I do not have a Savage but I know a guy that does and his like the Rem Accu Tips and maybe the Federal Barnes.
I shoot a H&R USH 20 gauge and it too likes the 3inch Accu Tips. I could easily shoot it 150 yards without hesitation. Shot a nice buck at 20 yards, straight thru took out the heart and destroyed the lungs. The AccuTips seem to be one round that most guys say shoot good.
The Hornady's were terrible, Winchesters were ok. Try different loads as mentioned, just don't let the wife know the price.
I tested with 2 3/4 and 3 inch if available in the Win's, Rem Accu tips, Rem Buckhammers, Hornady.