This is a beautiful island and the Arabic influences just can’t be omitted. It is also not a small island so you will need time to get around it. Given the road conditions in parts, multiply that by a factor of 1.5 for route time. They are NOT as bad drivers as the Italians from the north will make you believe, the people are not uncouth or savage compared to the north, ad the mafia is definitely not waiting to slaughter you, you are not that important, or dangerous, get over it.
Definitely do Menfi for the coasts; they have a nice beach run all the way to Sceccia. In the north the beaches are also nice (near Palermo) but far if you are this side or the island. The West is mostly rocky so save the beach time for here. An earthquake destroyed most of the city (circa 1960’s) so most you see was reconstructed albeit to look like the old times.