Hi Gabe,
Just a suggestion,but you might try this. I should add that as a right handed left eyed shooter that has shot about every configuration, I have had to relax and learn each rather quickly. I guess that no one told me that it might be difficult, I wasn't smart enough to figure out that it was. Put an old barrel on your new rifle, dig out those bullets that you think the least of, and do a little very slow get the motion down perfectly practice. Don't worry about the targets at all, you are just working on modifying the mechanics of shooting. Then after this becomes somewhat routine, and all the stress has gone from doing it slow, start increasing the speed, again without much concern for flags or group size, just don't bump the rifle and get it shot. A bunch of preloaded rounds on old cases that you have retired, that are sized small enough at the back to not slow you down would be good. Do this on a couple of closely spaced range sessions. Also, make darn sure that you have tuned the ejector,and have some sort of catch box or fence so that there is absolutely no way for an ejected case to get away from you, right from the start. It sounds like your new rifle is really nice, and if you sell it and go back to what you are comfortable with, it won't be the end of the world, but what I have described here is the kind of work that I spend a couple of minutes on every time that I go from left right, to right right, to left left. It also approximates what I have to do to learn a new riff or chord change on the guitar, slow it down and get it right and then once it is grooved slow, speed it up, all as an exercise, never as part of a total piece, until I can do it without feeling awkward. Now that I know three chords, I can get on with becoming the next pop sensation ;-)