You are getting very short on time for ordering a barrel.

If its a standard contour (heavy hunter) you may find one, anything a bit different (varmint, bull) and probably not

I would not put a barrel on a gun that was not at least Heavy Hunter.

338-06 AI may be odd enough none out there and its 2 to 4 months on an order.

someone with a 338 blank could fab one but again you have to get in line.