By the time the PIC was desperately pleading for radar vectors the airplane was well below the lowest possible MVA of 11,000 feet. In the U.S. many mountainous area TRACONS have an emergency video chart with more contours and only 300 feet of obstacle clearance. This is known as the EOVM or emergency obstacle video map. Colombia may not even have EOVM video maps.
They aren't of much value in any case, especially with a transport airplane in the dead-stick mode.