I wholeheartedly recommend staying with Aida. My girlfriend and I stayed with her just one night, but she shared home-made olives and a local herb liqueur with us which was really wonderful. She is very welcoming and friendly and made our short stay feel comfortable and safe. Her place is also perfectly located to explore Lecce on foot. It's just a 5 minute walk to the old town, 10 minutes to the train station, with shops just a minute away. It was perfect!