Hi Lawrence
Obviously your choice but have you considered that going to a site nearer to Rome involves driving nearer to the the Centre of Rome. The Rome Circular, which we used to get to Roma Sporting Flash, was quite near enough for me. In fact on the way back homewards we missed the turn for the circular and had to drive on towards the centre - NOT a pleasant experience. I found Italian drivers to be often reckless and impatient, hand on horn, especially if impeded by foreigners towing caravans. Rome drivers were particularly strong on these trends!!!
It took us about 10 mins on the bus to the rail station at Bracciano, half price fare for campers who bought bus tickets in advance at the site, and then only about 45 mins into central Rome by very comfy double-decker train.
Roma Sporting Flash markets itself as being for folk wanting to visit Rome and gives each guest a booklet with suggested itineraries, rail stations and a bus and train timetable.
We were, also, warned by the campsite that there were a LOT of problems with cars being broken into in Rome and there was a police notice up in the campsite reception confirming this. In fact the campsite management recommended not even parking in the car park at Bracciano Rail station because of break-ins. We met a Dutch guy whose Audi's door lock had been wrecked by a thief at Bracciano rail station whilst he was visiting Rome. He had big problems as Audi, and most other Italian garages, close for the whole of August for holidays.
If I went again I think Roma SF would be near enough for me!!
Best wishes
Tim