I'm not sure there's really a single offense that would achieve your goals of game 1-3, where first PG, then SF, then C is "found" as the best matchup. From the description patient might be able to do that, or perhaps the isolation offenses. But I think many people have mixed results with those.
Instead, you might be better served with making your team able to competently run multiple offenses. That way you can either attack your opponent's weakness, while also preventing them from countering your only strength with the correct defense.
As far as attacking the basket the way you describe, you might try low post, or look inside. Although the C and PF will typically be the focus of those offenses, the guards will still contribute, and more of their shots will tend to be drives and inside shots.