I chopped the barrel on a 22 to 12" making the gun 'minimum legal length' which plenty of people have done. It probably improves accuracy because the barrel is relatively thicker and stiffer for its length than before the chop. The downside is that suddenly the muzzle is sitting at ear height when the gun is slung on your shoulder - producing a very uneasy feeling and having me check all the time that the rifle wasn't on half open bolt with one up the spout.
So I wouldn't chop it any shorter than a length that keeps the muzzle just above the top of your head. But this will only improve 'handiness' and probably not fix your trans / supersonic sonic problem as Marty Henry has said. Maybe you should stop storing your ammo on top of the heater ??
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