You could likely fit a "Space Saver" Spare!
My apologies if someone has already run this down, but back in my E90 M3 days we went through the same issue--no spare from the factory, no space saver option that was made for the car.
Enterprising folks realized that the space saver wheel from the X5, when equipped with the proper tire, would do the trick. It was large enough to clear the brakes on the M3. Since the bolt pattern and spacing is the same, that temporary steel wheel may work on the Model S, too. Of course, you'd need to find the right tire option.
http://www.m3post.com/forums/showthread.php?t=253769&highlight=spare