The pilot reported that while attempting to land at the airport, he encountered turbulence just before the airplane touched down. The airplane alignment prior to touchdown was approximately 20 degrees off of runway centerline due to over-correction of the rudder. The pilot applied power to execute a go-around and the airplane began to porpoise as the pilot attempted to climb away from the runway. The airplane collided with trees and the wing and canard sustained substantial damage. The pilot reported that there were no mechanical anomalies with the airplane that would have precluded normal operation.