Thank you so much for your comprehensive response!
Our departure airport is EWR, and it appears that the only direct flight options to a location close to our desired destination of Matera are FCO (Leonardo da Vinci–Fiumicino Airport in Rome) and NAP (Naples International Airport).
Considering that we are not confident drivers, renting a car is not a viable option for us. Are there any alternative transportation options available to reach Matera from either FCO or NAP?