Those are both excellent choices. I can see the game going very well with either.
For Rome, the generals would go conquering in different directions, go back to Rome for Triumphs, retrain their legions, get offices and so on, hoping their lineage becomes the greatest of Rome by declaring themselves Augustus.
For Koinon Hellenon, the three cities would each have their commander and they'd be fighting enemies and also between themselves over the leadership of the union. The character depth for hellenistic factions doesn't fall far behind the roman one, with the Spartan Agoge, the olympic games and so on.
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