I don't know anything about this particular town, but in general, trains in Sicily have limited routes. Buses go to more places, but a car is really helpful for many places. Particularly for a trip such as this, where you have limited time, you'll probably do best renting a car in Catania and returning it to the Palermo airport.
If you want to find transportation options, see what you get at Rome2Rio: http://www.rome2rio.com/
If you are interested in car rental, look at Kemwel in addition to other sources (AutoEurope, Gemut, the car rental companies themselves, etc). For my Sicily trip in 2014, it had BY FAR the lowest price for a "zero deductable" rental (I put that in quotes because there were still some other expenses, like windshield coverage).
We did the trip in the opposite direction (pick up in Palermo, return to Catania airport), and while we were worried about getting out of Palermo, we found this easy. Returning to Catania airport, on the other hand, was more complicated.
I didn't do the driving myself, but my friend who did, did not find driving in Sicily to be difficult for the most part (the stories of how hard it is turned out to be greatly exaggerated). He just returned from driving in England, and found this MUCH more difficult than Sicily driving.
If you want the whole story, here's my trip report (scroll down for the car rental details): https://community.ricksteves.com/travel-forum/trip-reports/sicily-palermo-caltanisetta-siracusa-taormina
An addendum to that report: my friend returned to Sicily earlier this year, and this time he took a TomTom instead of a Garmin. It indeed knew the roads that the Garmin did not. So, if you have a choice, get a TomTom.