Early A fan Shroud
I have a 360 in my 65 Barracuda too but do not have cooling issues. I have had a radiator from a C body car (I think it has 3 rows of cooling ducts insteed of 2) in the Barracuda for a long time. It's flanges are not angled, so I had to adapt it but I does look stock.
The point is, I dont require a shroud and you should be able to locate a radiator to get the job done.