Rome Self-catering

We've changed plans are will now be stay a couple nights in Rome next
June. I've searched ase.net and romeby.com and found a nice looking
B&B near the Colosseum called (oddly enough) the "Colosseum B & B". I
would be interested in any other recommendations for B&Bs or
apartments in the Ancient section of Rome. We need a quad room (family
of four) or two doubles.

Thanks

David