Traveling to Siracusa for 7 days/nights. Here are the towns mentioned for day trips. Is there any towns I should not go to or any towns I don’t mention that are worth it?

7 day trip with the main base being Syracuse (Siracusa). We have a rental car so day trips will be no issue. Need help with recommendations on what to do.
Ortigia
Taormina
Noto
Modica or Ragusa
Mount Etna hike