Check out this guy. I was going to stay there but it didn't work out. He's an avid cyclist that runs a B&B. I'll bet he'll help you. -Probably a good first night stay too.
my bed and breakfast is near at Tiburtina station, 600 mt, from here every 20 minutes there is a trai to international airport of Rome Fiumicino, at moment in the airport there isn't a shop where you bought a box