Disagree with Trastevere. While it is certainly is less touristy, there are great restaurants all over Rome. Trastevere is a residential area. Not much to look at, especially in the evenings.
If in Rome only for a few days, why leave the areas you came to see. Yes, they are touristy but, you have a very short time to see the place. The touristy areas are spectacular and well lit during the evening. There are great restaurants and even street entertainers.
If I was in Rome (or Florence or Venice)for a week or more then I would agree to get off the beaten path for a bit of quiet but, in 3 days, you need to absorb what has made the place attractive enough for you to spend lots of money to see.
In the 21st Century deleting history has become far more important than making it. Anonymous