Mr Optimistic, for a quick stab at B I believe that many objects share a common terminal velocity free-falling in air of about 100-140 MPH. That's about 176 feet per second. That means it's about 3.5 minutes from 37k' to surface. It'll likely be faster at really high altitudes than at sea level. So even a plane in a dead stall condition falling like a leaf MIGHT go down at about that rate.
Are you volunteering to give it a try of somebody pays for the airplane in which to try it?
{^_-} At least that's a bogey number to play around with. The real question is what might make the plane stay in such a stall given its wing configuration?