Check the main wiring harness for the engine. It could have problems with it. Call a dealership service department and give them your VIN# ask to see if the recall
99M03 was performed on your car. It sounds like your wiring for your electric fans has an intermident connect. If the wiring touches ground your drawing a lot of current and you will experiance syptoms of a battery going dead i.e. wipers coming on, radio cutting in and out, tach bouncing around abnormally, etc and since your fans are not running you will experiance overheating issues.
Chances are the recall wasn't performed and you have some wiring issues in one of the four harnesses listed in that recall. Good luck.
