From my 2022 trip report. Your description sounds like Salerno might be what you’re looking for in a location. It’s very easy to take the fast direct Frecciarossa train from Florence or Rome to Salerno.
”Salerno – 2 nights: When I shared our experience of Salerno with my husband during a FaceTime call, he remarked, “You know, you’re having the Back Door experience that Rick Steves intended when he began his tours.” I do like to gravitate towards the lesser traveled routes, so Salerno was more appealing to me than Sorrento. Also, I really wanted to see Paestum after finding it during on-line research. I highly recommend Casa Santangelo, the former summer home of marquis Santangelo from Naples. I booked the family suite, so we could stretch out a bit at this location. Our two-room suite was perfect for our daughter to see the grand elegant past (my room is on their website - spectacular original gold walls & painted ceiling of pre-eruption Pompeii!) Our host commented that we chose wisely to be able to experience “authentic South Italy”, not just “tourist South Italy” on the Amalfi Coast. We walked down to the boardwalk and caught the end of a windsurfing competition in the bay, meandered along the old town lanes and dressed up for the Saturday night passeggiata that didn’t disappoint! Our last evening, we had reservations at the Osteria dei Mercanti restaurant in the old center and enjoyed both the food and the family running the restaurant. The owner told us a couple of times to be sure to go up to Ravello.”
”Day-trip to Paestum: An easy 30-minute train ride from Salerno, and we were walking the well-marked lane to the Greek ruins of Paestum. What an amazing experience – first seeing these 500 BC temples in such great shape, and then being able to walk up to them & even climb up inside the Neptune Temple! They are mammoth in size and some of the best preserved in the world. As you would expect by now, we arrived when they were opening and enjoyed a leisurely lunch afterwards of the local Buffalo mozzarella topping a fresh salad and an appetizer charcuterie of Buffalo blue cheese, etc. – delicious!”
”Amalfi – 3 nights: We took the ferry from Salerno over to Amalfi. Amalfi surprised us. We were expecting cuteness and a lot of lanes, but it was mostly one main road up through the town. Unfortunately, it made for a very crowded main street beyond the piazza which included impatient cars & motorcycles vying for space, trying to get up the steep hill. Pedestrians don’t have the right-of-way here! We enjoyed restaurants further up the hill – one with a network of lemon trees as the shade cover – lovely! And we had the best pizza of our trip at one of the piazza restaurants, enjoying the evening view. We took the ferry over to Positano our second day and the bus up to Ravello for our third day. Our efficient apartment in Amalfi, Arco della Rua, was nicely located over a formal restaurant, just past the archway over the main street. The furnishings were nice, including fun bathroom tile choices.”
”Day-trip to Positano: We took the ferry over to Positano to enjoy wandering the town for a few hours. We preferred the layout of Positano, and there were nice shops and viewpoints.”
”Day-trip to Ravello: What a special day! We took an early bus up to Ravello and relaxed with our normal breakfast routine of espresso & a croissant crema in the quaint piazza, waiting for the gardens to open. Since we were the first two people going into the Villa Rufolo gardens, we were able to enjoy those spectacular views & gardens privately. After enjoying all of it, we lingered at a bench for twenty minutes in the shade, overlooking the iconic dual spired building below us and the water far below. It was one of those snapshot-in-time mental pictures to enjoy.”