We had a very nice stay at Casa Alegra. Everything was nice: from the warm welcome by Cristina (she even did some groceries for us, including self-made marmelades!) to the magnificent view from the balcony.
Taormina is lovely, be it somewhat touristy (but if you stay outside of the main season, it is all fine). Do keep in mind that the whole town, including the house, is built against a steep hill. That makes it less suitable for people who have trouble climbing stairs.
The house has a private garage, which is a safe idea if you are travelling by car.