Buy an nice hex receiver Mosin and give it some love, I recently aquired a very nice 1926-dated ex-Dragoon with matching numbers for £275, cleaned all the Cosmoline out of, and off, the old girl and spent some time shimming the action, reworking the trigger etc and she shoots very nicely with one of the best bores I've seen on a Mosina.
My '39 Izhevsk M91/30 cost me £150 plus a bit of time shimming the action and smoothing the trigger etc and WelshShooter will attest to how well it shoots with standard Russian milsurp as he had a bit of fun at Sennybridge with it........
To be fair a lot of Mosins have had the action removed from the stock God knows how many times and may not actually have their original stock at all and the tightening and retightening of the action screws and the effect it has on the contact areas on the stock can cause awful accuracy problems, not to mention bores full of copper residue but with some effort and tlc they can be turned into accurate (for an old battle rifle) shooters......plus it is part of the joy of Mosina ownership.
With "snipers" it pays to do your homework and learn what to look for to find an original.Plenty of good Mosin websites out there with good advice, here's a couple of links to two of the best......
http://mosinnagant.net/
http://7.62x54r.net/