Firstly. I do not recommend staying in naples. We came here just to go to pompeii for a day trip, But when even the locals are gripping their handbags tightly, you know something is wrong. A lady in our hotel had her earrings ripped out in early evening in the middle of a busy street. Rubbish piles litter the street every day and stink.
That being said, if you have to go, stay here. It's a good price with the hotel and hostel on different levels, so there's no noise at all. The rooms are a little dated, but clean. Staff are friendly and helpful.
Free breakfast was good.
Wifi didn't work in our rooms, but worked upstairs in the hostel common room, which is open for use by hotel clients.

The hostel is very close to the port, quite close to the train station,and closetomany ofNaples sights.
It is located on a quiet street, on the 6 and 7 floors of a nice residential building. Very reasonable prices, nice and very helpful staff (all information on getting around is available).
Free lockers, free sheets, but bring yourown towel. Also, only one shower on the 7th floor, so you gotta be fast.

We stayed in the Bellacapri in mid-November 2010. We had a room overlooking the port. Always lots of activity plus a view of the Bay of Naples and Mount Vesuvius. We were within walking distance of most downtown sites. It is a long walk to the train station but buses run almost to the door of the hotel. The front desk staff were VERY helpful. Rate was 50 euros per night with a continental breakfast. Wireless internet was available in the room. Free access to computers was available by the breakfast room.
Front desk staff booked a sister hotel in Atrani/Amalfi for the same rate for our onward journey. The hotel provides a 15% discount at Castel Nuova Trattoria around the corner.
This restaurant was a great find. It is on the 6th floor of an office building. During the day you need a 5c coin for the elevator. The hotel is happy to provide the coins. Elevator is free at night & on the weekend. Very secure.

Definitely a hostel, but the hotel room with en suite bathroom was quite roomy and comfortable. The staff was friendly and helpful.