Greg, to answer your specific question, I would not have approached the makeover the same way. While he finally gets around to the "buy the barrels" adage, that should have been front and centre at the start. He made no mention of barrel wall thickness, only actual bore dimensions. And he spent little time discussing options for the stock. 
I'd have covered the barrels first, and I would have only had the bores polished and perhaps the chokes opened, not installed choke tubes. Then blued. I'd have re-done the stock specifically to have it glass bedded. For the average guy, new bluing and refinished wood and the gun looks pretty damn good. I would not have redone the CCH on that specific gun.....lots of cost and little gain. And finally, I would not use Briley but a collection of smiths that offer top notch work and better value. But I think Pete is right on the reasons for the choice of a big name, high cost outfit like Briley.