high powered rifle shooting

Almost sounds to me that your shoulder is bruised from not holding the rifle snug. That would make the muzzle jump and not shoot consistently. Just a thought, but that is what I would look at first.
 
Kraigwy stole the words out of my mouth. The only other thing I can recommend is getting a sling and shooting from prone, not a bench; the Mosin isn't a bench gun.
 
Unless you use a machine rest or put a sand bag behind the butt of the rifle; when you shoot from a bench most of the recoil is absorbed by your shoulder.

Shooting off hand your whole body is involved and muzzle rise takes some of the recoil.
 
The MN is unique (far as comparing to modern firearms, anyway) because the stock encompasses the barrel. The stock contacts the barrel in most I've seen. I would suppose that resting the forend of the rifle on a rest might affect the barrel harmonics and accuracy the same as if you laid the barrel of a new rifle on a rest when shooting.

I have two Mosins- one highly modified in a Boyd's stock with a fully free-floated barrel. The other is original stock, but I still free-floated the barrel by removing stock material from the lower stock and the handguard. Seems to pass the "business card" test. Have not yet had a chance to shoot this one...
 
The Mosin is a battle rifle, so I am sure you're not expecting 1 MOA from it; more like 2-4 MOA depending on the condition of the bore.

Shooting in prone: Your entire body absorbs recoil.
Adding a sling to the equation: Slings make a third connection point between you and your rifle, therefore increasing stability to put the front sight on target.
 
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