Something to consider - You may want to let the riflesmith provide the barrel for this reason - If, by some fluke of fate, you get your barrel from your smith and the barrel turns out to be flawed - the smith is responsible. He will have to get with the barrel manufacturer and get a replacement. Otherwise, you will have to deal with the barrel company AND probably pay to have it rechambered and recoated. I had it happen to me.
I bought my barrel and delivered it to my smith. He did an exceptional build on my rifle - the chambering; the fit and finish; everything was perfect. The damn thing shot GMM 168 at 2.5" - 3". My handloads were marginally better. I drove the rifle back to the smith (150 miles) and he discovered problem in the steel near the muzzle. I bought another barrel and had it delivered directly to his shop. The new barrel of course needed re-chambered and recoated. I was fortunate enough to have used a smith who rebuilt my rifle at no additional cost to me...but that is the exception to the rule. Rightfully, it should have cost me an additional $600 for threading, chambering, coating.
IMHO - its best to get the barrel directly from the smith. Note - The flawed barrel was sent back to the manufacturer who promptly agreed that the barrel was flawed and returned my money. He went on to tell me what a great chambering job my smith had done. This same rifle, with its new barrel installed by the same smith recently shot a 5 shot group measuring .140 CTC using Berger 175 LR and PP2000 @ 2760 fps. The rifle is capable of shooting better than its owner.