....My recommendation would be A vary large, homogeneous barrel, with 3 groves (The lands are wider and wear less because of the surface area) And in my experience with 3 grove barrels are that they are a little faster allowing for a reduced powder charge that can lower the heat input to the barrel. I would also have it fluted for better cooling (Not weight saving). As for the barrel material, I would chose Stainless because of it's toughness and wear characteristics.
Any premium barrel Brand should shoot well if it is a heavy straight taper with a shank dia. of 1.250 and a muzzle diameter of at least .900+. Also hold the barrel length to 20 to 22 inches for rigidity.
I would also recommend a strong target stock for fore end strength to hold the By-. Pod.........J E CUSTOM