If you have recurrence then radiation therapy should be used particularly with a squamous cell. The area could be a recurrence or a new cancer forming from dysplastic/ premalignant adjacent sking. If all the skin around the area has AK's then radiation can cover the cancer and clean up the area as well.
One problem with surgery is they only can treat one at a time and when they close the wound it is often with premalignant skin therefore you get another lesion right beside the scar. Skin Cancer is rarely a single event, it is multiple and in many cases a "field" effect on all areas exposed to the sun. It is also destructive therapy so it is cosmetically deforming even with the best results.