I'm afraid you're tough out'a luck as it is. Sony are very likely to provide PS2 emulation in the future, but at the moment, the only PS3 models that will play PS2 games are the initially released 60GB models.
Yes, although checking up on it, the 80GB CECHE01 model, actually has backwards compatibility, And so does the initial 20GB model - a fact that was missing from my post above.