I might.provided the storm is 5-10 miles away.
I'd first put tape over the edges around the battery compartment so no water gets into it. Then fly just high enough for the drone to hover over any trees/buildings that block the view - likely no more then 70-100 feet high.
Then get into my car making sure I have VLOS out the window, point the camera to the darkest part of the sky, or where lightning was last seen, and let the video run. At first sign of rain, or high winds land close to the car, grab the drone and get the heck out of there.