No offense to you, but your BA barrel might need more breaking in.
It is a "bargain" priced barrel... and isn't known to be great shooters out of the box.
Clean the barrel thoroughly... "feeling" for any burrs while doing so.... I could be as simple as a burr at the gas port.
Frankly, some Aero / BA barrels have been known to be a "hit or miss" out of the box.
AND... as mentioned, I also agree with the don't shoot one OEM round right after another... in my experience, a barrel needs to be "seasoned" in to any round... IE I allow a group of ( at least ) 5rds to be a throw away group, prior to shooting that ammo for precision.
I have seen groups shrink as the barrel "seasons" in to the next OEM load... not just sometimes, not every time ... but enough to realize it does matter.
I would suggest 2 different approaches...
Try a variety of OEM 77gr ammo... to try and find a round it likes. It can work.
Some barrels just don't like Hornady bullets Ogives.
The 77gr TMK is known to be fussy, at times.
Or replace the barrel now, with a better barrel. All my Criterion barrels shoot very well.
I realize the second version sounds a bit drastic... but... you might spend a crap load of money , on ammo, trying to "make" the BA barrel shoot to your expectations.
FWIW... I have one FN CHF SS .223 Wylde 20" 1n7 barrel, that only really likes one, specific brand 77gr ammo.... and I tried a ton of different OEM 77gr loads trying to make that one shoot the way I wanted.
Being a stubborn cuss... I would probably try a few of the "bargain" priced 77gr loads available.
PSA / AAC makes moderately priced 77gr loads, PMC, Sellier and Bellot, PPU as well.