Work on the flinch & eye first.
Even a $3000 target rifle with a $2000 scope will shoot poorly if you close your eye & flinch on every shot.
You seem undecided on what you want to do, go with the Archangel or stay military.
A good rubber recoil pad, either fixed or slip-on depending on which way you end up, can help a lot with flinch.
A PAST shooting bra is great for shooting steel buttplates, if you have the money.
A folded-over towel to provide some padding between steel & shoulder works, if you don't.
Sticking to the military furniture leaves it looking historically correct, but also leaves it vulnerable to warped wood along the barrel that can affect how it shoots, and oil-soaked or other degraded wood internally around the action that can also affect how it shoots.
The Archangel stock seems to be developing a following, mixed reviews on their magazines.
As far as accuracy goes, the bores on Mosins vary widely in condition and tolerances.
I wouldn't waste time or money in trying to bed a counterbored barrel.
If you have a "looser" bore, you can get relatively poor accuracy even with good rifling.
Conversely, if you have a tighter bore you can get good accuracy even with worn rifling.
Bedding may improve it, may not.
Of the three Mosins I currently own, one is an unaltered PU sniper, one is a much sporterized rifle, one has only been dropped into a Boyds stock & had the front sight swapped for an adjustable post.
The sporter was cut back to 22 inches & bedded with aluminum pillars in its Boyds walnut, Leupold scope mounted on a Rock Solid base after the rear sights were removed. Minor trigger work on existing trigger. Rock Solid long & bent bolt handle installed.
The sporter with scope has done 3 shots in 3/4 inches at 100 yards with Hornady Match. Surplus averages about 2.5 inches.
The PU has done 3 into 1 5/16 inches with Hornady, averages around 2 inches with surplus loads.
The kickaround truck gun Mosin with iron sights & un-bedded Boyds laminated wood (to resist weather extreme warpage) has been astonishingly accurate, going 3/4 inches for 3 shots at 100 yards with surplus, despite a mediocre bore, and averaged about 1 3/4 inches with Hornady.
The Winchester stuff's not bad, not quite as tight as the Hornady, but not as expensive, either.
Three "grades" of Mosins, best overall performance off the bench was from the humblest of the bunch, with the worst bore & no scope.
Mosins are total crap shoots.
If you have a good one, you can have a very decent shooter.
If you don't, you can spend hundreds on one to make it into only a fair shooter.
Also, accuracy will tend to vary between cans of surplus ammunition.
What you have right now may be part of the problem, next can could improve your groups, or could be worse.
Denis