I talked to the service guy again at the Honda dealership. He said that it CAN run in safe mode indefinitely!!!! The service guy is a friend of a friend so he took a look at the car. Four codes popped up!!! He said that was highly unusual so he called someone high up. Belive it or not, they actually replace the battery and the controllers for free!!! I just had to pay for the labor. Man did I get lucky. By the way, when I was driving the car in safe mode, my mileage stayed just about the same, between 55 and 60 mpg.