XFed2001 Yup, it's do-able but usually these(the ones that open early) restaurants often target tourist. Like you said, "while in Rome...". Enjoy those long dinners and the atmosphere.

Where tourist congregate? Well, the usual haunts. The only problem is that the prices there tend to be exhorbitant. Best bet is to get the concierge recommend you a good place or get a good guide book.