Further down the Pyrenees does not get snow. I suggest the Aude region of South France. You can fly into Carcassonne and Perpignan Airport on low cost Ryan Air. The Aude region is not only famous for the Tour de France but also the Tour de Aude which is the Ladies International Championship. Cols by the dozen including less hard rides. During winter the days are sunny and at night it gets cold. A quick search on Google revealed several Cycle routes and further information that may be of interest for winter cycling in the South of France
http://www.southfrancehols.com/cycling/Cycle-Routes