Casa Florean ended up being the ideal place for our stay. Although there is not an abundance of natural light, it more than makes up for it in that it is spacious, comfortable, and very quiet. It is a lovely apartment that is tastefully decorated and it is ideally situated within the historic part of the city. We found it easy to get to all of the sites we wanted to see.
Our host, Sylvia, was very gracious and accommodating. She gave us several suggestions for restaurants and shopping. Sylvia was away during our visit, so her assistant, Giuseppe, was at our disposal. Giuseppe also gave excellent recommendations including dining at Trattoria Le Zie (a locals' place). After leaving Lecce, our car broke down halfway to Brindisi. Giuseppe was very helpful to us in our time of need.
Recommendations to other travelers: Trattoria Le Zie, Prendici Gusto ( wonderful deli featuring home cooking and friendly service), and Museo Faggiano (absolutely fascinating story).