A trip to Sicily is not a city break but a road trip to see the hidden beaches and the historic towns of a great island with so many influences from Greek to maors. The food is amazing, the beaches are like Caribbean islands. Check our other resources about festivals and hidden spots in Sicily.
Here is a flight in the summer, going to Catania and returning from Palermo, for a week. Do rent a car at least for 3-4 days, this would be around 70 euros. And absolutely start to book your accommodation as it becomes quite expensive, starting from 45 euros per night, the cheapest room on booking.com.
Note that we are not an online tourism agent and do not provide services of any commercial type. We just share what we find and give you suggestions about great destinations in the best periods. Just follow the link to book by yourself.