We will be in Italy in June 2017. To give you context. I am travelling with two teenagers who do love history and enjoy art, but who do not want to spend 20+ days in museums and churches. We fly into Naples and out of Milan (already purchased). We have 25 nights, at least 3-4 of which will be devoted to Switzerland or the Dolomites before we depart from Milan. The tentative plan is to go: Naples/Sorrento, Rome, Florence/Tuscany, CT- if included, Bologna (for car museums), Venice, Switzerland, Milan.
Pompeii, Pisa and the Lamborghini museum near Bologna are must see requests by the teens. We plan to mostly travel by public transport, but are not opposed to renting a car once we are beyond Rome and returning it before we visit Venice.
I am really torn on staying in Sorrento to visit the Amalfi coast or visiting Cinque Terre. I am not sure we want to do both. Our itinerary is already ambitious. I have read through some of the many previous posts in which the virtues of each are discussed which led me to the question: Is there some other coastal area we should consider that would be within our geographic realm? Or, are these two areas really "must-sees"? Beach time is not a requirement, but a nice option.
What other places on the coast have people visited? I would love you hear your experiences and recommendations. I thank you in advance for your comments.