I find this stainless versus mild steel question interesting. There are a lot of varieties of stainless steel out there, but generally speaking I think they are harder to weld, have less ductility and tensile strength per pound, and WILL rust if they are deprived of free oxygen to maintain their oxide coating which makes them stainless. Stainless fittings are good above the waterline on boats; below, ie in an area where free oxygen tends not to be available, especially in stagnant water, they are not good at all.
I don't see the advantage of stainless in an application like a race-car monocoque; I would rather have zinc-coated mild steel or Corten. If you build a chassis of mild steel which is zinc-coated, then prime it with zinc chromate and paint it with two-part urethane, it would last as long as a stainless chassis and be stronger in the bargain. AND cheaper- stainless stock is expensive and not available in as many shapes as mild steel.
NOW- what somebody really ought to build is a carbon-fiber/epoxy GT40 monocoque. Here are the advantages; MUCH lighter, repairable without welding, stronger than steel by far, and can be bonded to the body for additional rigidity. Disadvantages? Plenty- very expensive, not at all original (more like a Chaparral than anything else) and it requires running an entire set of return wiring for all the ground connections (earths to you fellows over there) because plastic composites don't conduct electricity. I'm surprised, though, that no one's tried it. There are race cars out there with carbon-fiber or Kevlar tubs, arent' there?
If anyone decides to do anything this crazy email me and I will put you on to some sources about laminating and structural resins and fibers.