Try a good sunscreen, such as Neutrogena. Not only will it keep your skin from drying out, it will afford some protection from the sun.
My wife and I ride a lot during the year. Not only do we do a lot of local riding, we do at least one extended tour a year, 1-3 months. The point is: we spend a lot of time in the sun and wind. Neutrogena sunscreen does a good job. My wife also uses the clear zinc oxide ointment on her face.