Would it be easy to have the a/c auto alert an emergency operations center of a stalled a/c at cruise altitude?
Ground support would then call the flight deck using the sat phone to establish a dialogue whilst reviewing the basic flight data via telemetry. There would be a lag of a couple of seconds in the comms however it might restore calm to the flight deck and remind them of SOP.
This would not require any new equipment or expense, probably just a simple software tweak and setting up an emergency ops center. UAVs and remotely piloted a/c require far more sophisticated software.
Then again perhaps the lawyers have blocked this already because of the liability.