He can always just explain to the pizza customers that due to the inclement weather, he'll need to make a pit stop at a motel for the night first. They'll get their pizzas in due course.
I'm just imagining Our Dear Friend doing exactly that, eating the pizzas as he lies in bed watching television at the motel, knowing that it's better that they not go cold and that he can buy more pizza from another place to take to the customer the next morning, thinking that he can charge it (and the motel stay) to his pizza store, only to find that nobody is cooking and selling pizza early enough the next day, and when he makes a trip to the customer's house to explain what has happened, the hapless, disturbed resident explaining that it's 11 AM and they don't want the pizza anymore, and Jeff driving back to the pizza store and being asked to return his hat. But it would be okay, because there are other pizza stores that are also hiring delivery drivers.
