A LeAir Embraer EMB-110P1 Bandeirante, registration C6-CAB, operating as a passenger flight from Haiti, sustained damage subsequent to the nosegear-up landing at Lynden Pindling International Airport (NAS/MYNN), Nassau, Bahamas. The pilot in command (PIC) advised that during the approach sequence, upon selecting the landing gear handle to the down position, the gear safe indication was observed for both main gears, but not for the nose landing gear. Subsequently, an attempt was made to extend the gear using emergency procedures as per the manufacturer?s guidance outlined in the pilot operating handbook (POH). However, the unsafe gear indication was still observed. Additionally, during this time, the PIC also observed that the tiller for the aircraft nose steering was moving freely. Nassau approach control was made aware of the observed unsafe landing gear indication and a low fly-over was coordinated with the control tower where air traffic control (ATC) advised that it appeared that only the main landing gears were extended. As a result, the PIC made the decision to burn off fuel in preparation for landing the aircraft without the benefit of the nose landing gear. After conducting a few orbits within the area, the pilots were given clearance by ATC to land on runway 10 at MYNN. The pilot in command advised that during landing, back pressure was applied to the control column for an extended period during the roll out sequence, to delay the aircraft nose from coming into contact with the runway surface, and thereby maintain directional control of the aircraft. After the nose of the aircraft came into contact with the runway surface, the aircraft veered to the right side of runway 10 and eventually exited the paved runway surface at a distance of approximately 3,280 feet from threshold of runway 10.