Originally posted by Señor Ferrari
It shouldn't take much more than an hour to an hour and a half. Vero Beach is about 75 miles from Port Canaveral. It would probably be quicker to cut over to I-95 and take that north than to use A1A, but probably not as scenic. I'd probably opt for the scenic route, myself.
Either way, it's definitely a doable ride on the morning of the cruise.