I haven't heard anything bad about Ballistic Advantage, so don't think I'm bagging on them. I simply don't have experience with them.
That said, specifically with the 6mm ARC I've had multiple Proof Research barrels and Compass Lake Engineering Bartleins which have all produced excellent results.
Otherwise everything looks solid. If the barrel doesn't require heat to the upper to fit, I very strongly suggest bedding it or shimming it. I used to be skeptical of the process but watched my groups (20 shot groups) almost cut in half with the exact same ammo.
ETA: As far as ammo, I've had the best luck with 108 ELD-M and 103 ELD-X factory. The 105 "Black" cycles well but hasn't grouped as tight for me. YMMV.