do non-A/C 1960 cadillac coupes come with a fan shroud?
No. A non-A/C car will have the standard 4-blade fan while an A/C car has a 7-blade fan with shroud
and the radiator is located in front of the core support to allow space for the shroud.
Can be retrofitted but you will need the shroud, 7-blade fan and good time to do this is if you are having a new radiator manufactured since the hose connections are slightly different.
Fins did it to his 59 Sedan deVille a few years back. He should be able to recommend the radiator supplier that he used.