Mechanically fastening is the way to go. I've thought about how I would do this some day and what I would do is use a long strip of sheet aluminum maybe 2-3" wide and pop rivet the first sheet to the strip along with washers (so that screw heads won't stick out too far). Then the overlapping sheet would be screwed down with SS self-tapping screws. Maybe you can re-use whatever is behind the existing screws to screw into again. Then I'd finish that off with Scrim Shield or Gorilla tape to keep moisture out and to make the underbelly a little more airtight. Penetrations for pipes, tank valve cables,etc. can be sealed off with landscape foam which is a black/grey color.