In my case, Briley performed what could almost be said to be a miracle. I have told this story several times before on this site so I beg the indulgence of people who have read this story before. I bought a Skimin and Wood double that some genius had hand-reamed the chokes with a hand reamer, off-center. The gun's muzzles were left pretty thin. Nonetheless, Briley agreed (somewhat reluctantly) to install a set of Thin Wall chokes in a fashion that would bring the gun's POI back to "center". It worked. The old gun is now "a shooter", again.

I don't know what Briley recommends, now, but, when I had my gun done, Briley offered Thin Wall chokes that were steel shot compatible. I suggest that you call the nice folks at Briley and ask them directly about this.