That's not a bad idea actually. If not the Olympian/Hellenistic religion, than at least culture (like the Turks) and a perhaps a theatre.
That would work too. After all, one of Alexander the Great's legacies was to usher in the Hellenistic era in basically the entire map you are considering. Well, that and amassing one of the largest empires ever known. Also, you could do the religion spread thing, and then require a certain number of cultural buildings (like amphitheaters) for a second or third UHV, you know after the obvious 1st UHV: Control 50% of land area by 323 BC.