I would definitely recommend a stay at Campo di Fiori. Sonia was incredibly communicative and helpful. The bed was comfortable and the air conditioning helps you to keep cool on warm Rome days. A small note, the ceiling-fixed shower head is inconsistent with warm water. The movable shower head (hanging on the side wall) is much better in this regard, so I would recommend using that one.
Despite the loud atmosphere of Campo di Fiori, the windows and exterior door do a great job of keeping the noise out. Unless you are a very light sleeper, I don’t think this would be a problem for you. Noise from neighbors is little to none at night, but sporadic during the day. Unless you are nocturnal, again, no problem.
Speaking of the location, this was great. Outside of the airport, the only transportation we took was to Tiburni station (~5 km away). If you are able, walking is definitely the way to go in Rome. When your tour guide takes a stop right in front of your stay, it definitely brings a smile. :)
Finally, we loved the balcony. It was so nice to sit and relax there with a croissant and fruit cup we bought from the market below. Thanks, Sonia! Ciao!