We will be arriving late from Rome. Looking for a hotel that is either in the airport or extremely close. Any suggestions?
Are you flying out of Naples the next morning? How are you arriving in Naples? The airport is not far from the central area, including the train station. oersinally I would just stay in the centro storico and get a cab to the airport.
Ditto mph's advice. The airport is quite close to the center of town. Our (rather modest, but clean and friendly) hotel arranged a pick-up for us; the cost was about the same as a "regular" cab would be, but we knew that we would be driven to the hotel, quite late in the evening, by someone reliable and honest. When checking hotels, I suggest you inquire if they help arrange an airport pick-up.
If you're just going from Rome to Naples why not take the fast train to Naples and drop you in the city center?