The pilot reported that, while on his takeoff roll, the airplane veered to the left of the runway centerline when he glanced down to check the instruments. He corrected with right rudder to return to the center; however, he overcorrected and then added left rudder. Before he was able to correct, the airplane exited the left side of the runway and struck the precision approach path indicator lights, which breached the left fuel tank and ignited a fire in the left wing. The airplane subsequently crossed a taxiway, travelled down an embankment, and impacted a maintenance hangar. The pilot egressed through the right cockpit door and was able to extinguish the fire. The airplane’s left wing was substantially damaged during the accident sequence. The pilot reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation.