JMH,
From my most recent bench rest match results you might ought to take anything I say with a grain of salt...

I chose to shoot a barrel that had given me issues once, I made some changes to it and put it back on a Ballard I'd built that has been working well for me. The barrel was extra heavy and I really thought from my preliminary results it would shine. Once again, not the case... failing to have the time to spend shooting and practicing bit me. This was a RKS barrel that I was determined to make perform, it shoots well just not at the level I had hoped, given the action, the ammo and conditions???
I have several RKS barrels on 22's that out perform this one in it's current state but my stubbornness rules. (I've shot these other rifles well but I keep building new rifles and my rules don't let me go back once a rifle has proved itself - kind of retarded I know)
My current offhand rifle has a Lilja barrel on it and while getting sight settings for the offhand match - off the bench - outperformed the combination I'd used for the bench match - go figure... too little, too late.
Another barrel mfg. that folks have failed to mention, is Bartlein. I have one of their barrels on a 22rf bolt gun I use in a different discipline, whether it's the combination of resources or just that I have been shooting it more, it out distances almost everything else I have... I have a vintage single shot build in the works at the moment that will be getting a Bartlein barrel on it, a couple with Shilen's, some more with Lilja, another with a Douglas, Proof and Green Mountain so take your pick.
I recently came up with a quality BR action that's getting mated with a fast twist Lilja three groove, an interesting stock, high end optics, chamber design, extra accessories, a regular money pit...
There's my 5¢ worth.
Greg