If that's your standard, you're going to have a VERY hard time finding a sporter weight rifle that fits it. Heck, you'd have a hard time finding a factory stock varmint rifle that will do that consistantly. I think you've set your sights too high (pun intended). If it'll shoot 2" groups all the time with factory ammo, Browning's not going to tell you there's anything wrong with it, because there probably isn't. Try different ammo, some rifles are particular. I had a similar problem with my Savage. Found out that when I had reassembled after it's initial cleaning/lube I had not gotten the recoil lug and action seated quite right when I tightened the action screws which caused a wandering zero. Also, you should try to let the rifle cool for several minutes between shots. I tend to get impatient and shoot too fast getting the barrel too hot, it's easy to do. If there is any stress in the barrel it can flex and the POI can shift. I found this out the hard way. Just slow down and take your time. These are bolt action rifles, not machineguns.

Mike