Drill the back side #40 and chisel off the shop head. It only has to be weak enough to allow the chisel to work. The chisel needs to be ground almost like a wood chisel. Also round the corners and polish it. If should leave a mark no worse than scotch brite when dragged across metal. I do drill past the surface to relieve internal stresses on a rivet, BUT I don't use a nominal size, only undersize, and after the head (shop or factory ) is off so I can see what I am doing.
I have successfully removed thousands of rivets this way in all contitions, but what comes to mind is Cessna Caravan seat rails, Five of them about 16 feet long held in with #5 rivets @1.5", done with a 90 degree drill and a mirror. Whats funny is I can do that, but I have a really hard time pushing an airplane with a tug