food for thoughts: the F-body 1998-2002 radiators are the same for the Ls1 and the 3.8V6, that V6 is the same as the 4.3V6 as far i know just a shorter stroke.
so if the LS1 can live with that size radiator in a car that has horrible airflow across the radiator (bottom feeder, relies on air dam, same as our Vettes) then I'd think that radiator is good enough for a Chevy SB.....
I run a cheap aluminum radiator and the crappy stock fan in Florida het and my 383 is running cool.....
I'd definitely use the radiator you already have, to be safe keep an eye on the temp gauge but i wouldn't expect any issues.