Maryann,
Sounds like you are eligible for dual citizenship! It takes a bit of work and time so you should get started on it as soon as possible. Carrufo had 2 feet of snow around christmas. It melted right away but it was still cool. Even on the beaches outside of the tourist season it can be very quiet. We went in May once and stayed in Silvi Marina on the beach and we were the only ones in the hotel!
Our villages are fading away. There are no young people and most of the residents are in their 70's and 80's. Only in July and August the population doubles with young families. If you find a good size town, ie 5000 to 10000 people it would probably be livelier in the winter. Watch to see if the population is to old or if there are a number of younger people around. You might check out villages or towns around a larger center such as Pescara. The advantages of Pescara is it's right on the sea plus it has the airport with direct flights to New York and Toronto during the summer as well as Ryan Air to London and Frankfurt all year round.
Barry