Thanks --- now I can answer you much better!
In 2001, my family spent a couple weeks in Sicily at an agriturismo near an even smaller town north of Enna. And then last year my husband and I spent a month before and including Easter visiting Sicily again.
Yes, you will be able to drive to many wonderful sites from towns or from an agriturismo in that area. We did exactly that in 2001. The only slight negative about staying in our agriturismo is that there were only two roads from it to anywhere else, so we had to drive on the same roads over and over. And dinner pretty much had to be at the agriturismo, whereas if you stay in a town you can eat at a restaurant and walk back to your apartment or B&B or whatever. Not a big deal. You'll be able to drive to the Villa Romana, to Agrigento, and to the Baroque town of Ragusa and the chocolate town of Modica. Also to Enna, Caltanisetta, and Caltagirone, plus some towns that were on our list but that we had to skip, such as Castelbuono where they harvest sap from trees to make special sweet treats. The problem with Sicily is that it has so many great places to go!
In March and April, you will see the roadsides and the fields packed with wildflowers. And all of the Easter festivities you can want. Last year, while staying in the town of Sciacca on the southwest coast, we were surprised to find ourselves in the center of an intense Easter procession that included a race between floats carrying lifesize statues of Mary, Jesus, and St. Michael. We were staying in that town to be near a different Easter festival, in San Biagio Platani, to see the traditional Easter arches and other large displays made out of bread, seeds, and other foods and natural materials --- if you leave Sicily before Easter, you'd miss that, but there are similar small towns with their own Easter week events.
Look up driving distances, add some time to the google time estimates, and decide which locations best suit your family's interests. I, for instance, did not want to be in the packed crowds gathered for some of the major Easter processions. You will eat well no matter where you are!