Thanks again to all who have commented and shared their experience or opinions. My second towing experience with the explorer went much better. After about four hours the battery worked fine. As was suggested I turned the key back as far as I could go to the left instead of the first or accessory position where It was the first time. There is also a large LED screen that controls the radio, climate and navigation that I found through the menu where that screen can be turned off. I also turned the headlights to the off position instead of the auto position where they were the first time-although I towed mostly during the day the first time so I don't think they came on anyway. I'm not sure which one of these solved the problem but hopefully I am good to go from here. Thanks again for all the help! I am sure this will not be our last hurdle as we plan to be on the road for about four months :-)
