Craftguard in Waterloo Iowa has always done excellent work and fast for me. I have always polished my own bbls though. They polish with muslin wheels and do a good job, but you can tell how they've been polished so I just do it myself. Generally the turn around for me is 2 weeks or so. Don't know what the time would be for a complete job, or how long the shipping would take, but it's less than 200 bucks if the barrels are in reasonably good shape.

Double guns and English Setters