First off, a load with a 200 fps ES is not the best way to judge rifle accuracy. You need to figure out what is causing the big variation. That said, factory ammo doesn't shoot well either so I would measure the ES on the Factory stuff too. If they are also very wide that will tell you a few things. Second, I have worked on quite a few Bergara and they are prone to multiple defects. In order, bedding is bad, glass or pillar bed to fix, Chamber issues, needs to go back for new barrel. The chamber issues are sometimes so bad you can actually see them on the once fired cases and or they show up in measuring the various critical points. Also check to see it has enough throat, short throated chambers have been an issue too. Crown issues and sundry feeding issues round out the common defects. Unfortunately the track record of the warranty depot for fixing these issues properly is very poor and Bergara won't pay for a qualified smith to fix them locally. The good news is, except for the ones with poorly made chambers, once bedded and crowned most of them shot really good. The feeding issues are usually not that hard to repair.
My personal opinion after experience with them and the very poor customer support, there are much better rifles in the same price range. Let us know what you find.