Sorry for the necro, but no one else has replied to this so I don't see why a little input would be bad.
I'm not even sure you'd have to design a particular kind of quantum suicide machine to test this, since all phenomena should ultimately be tied to the effects of quantum probability. If the theory of Quantum Immortality is true, then no event should lead to death from the point of view of the person who has "died". If you hang yourself, you'd die in a lot of parallel universes, but from your own point of view you'd somehow survive (perhaps in your universe the rope breaks, your spinal chord doesn't snap or someone rescues you in time).
I certainly hope that the Quantum Immortality theory isn't true, since it would lead to terribly awful consequences. That would mean that people from thousands of years ago are all still alive in their own little parallel universes, probably in horrific health and hanging on by a thread that cannot break.