I have 13 days to plan in Italy between Rome, Foggia & Amalfi Coast. Can you help?

Hi people of the internet that I'm connected to. I am traveling to Italy for a friend's wedding (4 days in Rodi Garganico, Foggia) and have the balance of 13 days to spend in Italy. I'm thinking of a blend of Rome and the Amalfi Coast. I'm hoping to crowdsource some ideas on where to stay (hotels, guesthouses, hostels, I'm open minded) and what to do while there.

If any of you have some wonderful experiences or know some people I can talk to, I'd appreciate leads. Let's see how well my network extends into Italy.