My advice is to avoid the Weller coat.IMHO,the Weller is far too often seen amongest CS reenactors.The Weller coat is documented to a Pvt. Weller of the 4th Kentucky Infantry,so kinda a western coat.If you want something different,try the blue-gray kersey English pattern greatcoat.That would have a fine look for mid-late war events.At the same time,you could go with a civilian overfrock.But the best advice is try to find the quatermaster records for your regiment you portray and see what comes up.Go to MoC in Richmond and see what research they may have.Good luck to you.
South Union Guard
"Always carry a flagon of whiskey in case of snakebite, and furthermore always carry a small snake"~W.C. Fields
"When I drink whiskey, I drink whiskey; and when I drink water, I drink water."~Michaleen Flynn 'The Quiet Man'