After bedding any of my rifles I have never run across a load either factory or handloads that shoots over 1.5". I have been shooting for over 50 years and until I got my rifles bedded properly I had problems like you had for most of my life. Of course that is assuming that you have a quality rifle barrel in the first place but so far every rifle I've had bedded has become quite the shooter. I haven't even started load development on some of them because they shoot so well with factory ammo. I had one barrel that simply wouldn't shoot and it was finally determined that it was bent. I had bought it used and had a bunch of trouble with it and finally a barrel scope inspection found that it fouled heavily on one side of the barrel and then upon further inspection it was bent ever so slightly. That rifle got a new barrel and VOILA... Problem solved.