The Mil-Spec barrel is a Douglas. They aren't a big name on the hide, but they must be doing something right as I never saw a single complaint about the barrel on the SPR.
On a side note, does anybody have the drawing for the SPR barrel contour and gas port diameter?
No idea on the mil-spec profile but the ones you will see on the market are by and large 20" HBAR barrels that have been shortened 2". Gas port .105-.110.