Ciao @Toni Howard29 I agree with Robert's answer!
Best way from Rome to Bari is by train and a private transfer from Bari to the Amalfi coast.
We can definitely help you arrange group rates for the train as well as transfers and tours for your group! There is a great Pompeii tour that includes lunch in a vineyard and transportation back to Rome that I think you would absolutely love to finish off your time in Amalfi.
Let me know if you have any other questions, we are happy to help however we can!
Mirai