There are more variables than just the barrel for accuracy, so your new barrel will so show you if it is the barrel itself. Since you can shoot one gun accurately, it is not likely your shooting, but is gun related. Other sources are barrel lockup, clearance between the barrel and slide, side clearance at the breech face, excessive slide play, really bad ammo, etc.
I am sure if the barrel doesn't improve the problem, the gun will be going back to S&W. They should pick up the shipping costs, so all you will be out is the use of the gun for 2-3 weeks. You would not be the first to send your gun back for accuracy issues.
Bob
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