Italy honeymoon itinerary - late Sept/early Oct

We are from Canada and traveling to Italy for two weeks approx. for our honeymoon, from Sept 26 to Oct 11, 2026.

We would like : good food, destinations that are not too packed/touristy, enjoy the outdoors (hiking, beaches, views, etc) and an overall relaxing experience.

We do not want to feel rushed or go to crowded or overhyped expensive destinations. We like a little bit of culture (museums, sites) but it’s not our main focus. Wine as well is not a main priority as I don’t drink that much.

Based on my research so far, here is what I am thinking:

-fly from Canada into Milan (just for its proximity to Venice), take the train to Venice.
-Venice: I am thinking we spend our first 2-3 days in Venice (it’s the one destination I really don’t want to skip)
-Tuscany: take the train to somewhere in the Tuscany area, open to recommendations here : for 2-3 nights in that area, or is there another in-between destination people would recommend?
-Rome: for 3 nights.
-Sicily : we would spend the remainder of our trip (around one week) in Sicily. I am looking at Cefalu and Taormina areas but open to suggestions. We would rent a car for the Sicily portion of our trip.
-fly out of Catania back to Rome then Canada.

Our budget is 8-10k total (including flights).

Thanks!