If pilot suicide is now being seen as a problem, irrespective of this accident, then I'm rather surprised that a pilot orientated forum hasn't spotted the obvious solution, ie a third pilot!
Such a requirement would remove the possibility of the flight deck ever being occupied by one person alone, would remove the need to remove cabin crew from the cabin, and of course offer further pilot employment opportunities. As it would be a regulatory requirement, then no carrier would have a financial advantage over others. Any regulator that did not conform would soon find its airlines barred from all airspace other than its own. Costs of course would rise, fares would no doubt follow, but death by pilot would hopefully cease to be a statistical concern...