The accuracy of these rifles can be all over the place. Plus one type of ammo works good, the other lousy. Trigger pull is pretty heavy too. These are military rifles and not tack drivers. Minute of man was good enough with these.
The sheel is a pretty good wquivalent of the 30-06 round and is still in use in the Russian military in maching guns. It is the longest serving military round with 115 years of continuous service. All milsurp ammo for these it corrosive. Not a big deal, but you must not delay cleaning after shooting if you are using it.
All that said, you can expect 3" to 4" groups at 100 yards if the bore is good. Many will do better and rifles based upon the Mosin Nagant such as the Finn M39 had to achieve a 1.5 MOA in order to be acceptable by the Finnish army. I have two of these and they are great shooters.
I like the longer rifles the most, but for a field gun, a good M38 or, even better, a 91/59 will work fine. Loaded with a 202 grain soft point bullet, ou should be able to bring down just about any big game animal in North America. The sights on these rifles are much better than Mauser sights. Especially on older eyes of if you wear glasses. There is a scout mount available that will not premanently alter you rifle. You would need a long eye relief scope if you use on of these.
I am not a real fan of the M44 and even though I own 13 various Mosin Nagants, including the excellent Finnish reworks, I don't own a M44. The attached bayonet makes it too front heavy for my tastes.
If you get a short rifle and shoot any of the various milsurp ammo you will get some really spectacular fireballs out of the barrel. Easily reach 5 feet in length. Makes twilight or evening shooting a lot of fun. Really puts a new meaning on the Army saying the "We light up the night."
A really good site with tons of info is:
7.62x54r.net/