Pete, since you've already done a bare-root re-pot (post #12), I'd just keep on with the shade and water, and mist the leaves frequently if you have the opportunity. Even my young trees planted in-ground earlier in the year, and in filtered shade, are showing some drooping leaves in the hottest part of the day, so it's not surprising that a recently re-potted fig would droop as well in 100 degree temperatures. As long as the leaves are returning to normal when it cools down, you're okay.
You might also try setting the pot in a shallow tray of water today, well before the leaves start to droop, and leave it there through the hottest part of the day to see whether you notice any difference. My potted figs that are in water trays are in full sun, all day, and even with 110 degrees yesterday, there was no wilting--although a few of the shaded in-grounds were drooping. "Wet toes" might work for your fig as well.