You can try applying one, two, or three pressure points underneath the barrel channel with something like non-drying modeling clay. It's trial and error, and plenty of "experts" laugh and scoff at the idea, but more often than not, I get these light barrels really dialed in with placing small balls of this clay along the barrel channel and then pressing the barreled action into the stock. Take it to the range, and make adjustments if needed. I have had it make it decidedly worse, too, but only once or twice was there no change. Works great in budget factory guns like the Savage Axis, Remington 710 or similar, and Mossberg ATR. I will get lambasted for this idea, but if you try it, you'll have a different opinion whether you admit it or not. The clay is good because it absorbs vibration. The non-drying really doesn't dry (had an argument with a gunsmith about this point). I just took apart an Axis that the clay drew in from 3 1/2" down to 1/2" groups and the clay was still pliable over 2 years later. Took 3 pieces for that rifle. 1st about 4 inches forward of the chamber, 2nd about 2 inches beyond that, and the third about 3 inches beyond that. Still not within 3 inches of the tip of the forend.