The Experienced Pilot Chose To Operate In Instrument Meteorological Conditions Without An Instrument Flight Rules Clearance Analysis: The airplane was operated on a personal cross-country flight. Recorded data indicated that the airplane made an approach to an airport but did not land and the airplane apparently diverted due to the instrument meteorological weather conditions (IMC) present at that airport. The airplane then flew toward another airport about 60 nautical miles away. The airplane was aligned with the extended runway centerline but impacted trees and terrain about 2.5 miles from the diversion airport. The weather conditions at the diversion airport were night IMC with a 400-ft ceiling.