84 Mark VII

I own a 79 Ford F150 4X4 351M auto 95000 miles.When ever it gets over 85 out side and I have a warm engine If I let it set for a minute or let it idle for a minute it will hesitate about the time it shifts to second gear.I was not to worried untill it got to 95 and it quit and would not restart for 6 hours. It was too hot for close inspection but, I could not see any gas squirting into the carb when you pump it. So far it has been to 2 mechanics. I have changed every possible spark piece in case it was that. I have also tried every fuel system piece buy replacing them with new. I do not want to list them all because I would be typing till tommorw. I even tried crazy things like building a cold air duct to blow on the fuel pump when your moving. Still have the hesitation and I am afraid to drive it very far. I will be more than happy to listen to any suggestions any body may have no matter if you think it's crazy. I have done all the normal stuff it must be something wierd. PLEASE HELP ME.I would like to go camping agin but am too skerred. None of the local mechanics have any idea. The ford dealer said to carry water with me and when it dies cost to the side of the road and throw the water on the fuel pump and lines. This sounds like I have to hope It doesn't act up in the middel of a busy highway. There has got to be a better way! As I said I will listen to anyone and reply if I already tried that. Do not be shy maybe I missed something easy! I am about ready to go buy a mule.