The pilot of a tundra tire-equipped airplane was landing at a remote airstrip when he lost directional control while attempting to negotiate a dog-leg turn on the airstrip. He said that when he attempted to turn, the large tundra tires slowed the response to his control inputs, and the right wing struck vegetation, pulling the airplane off the airstrip into trees and brush. The airplane received substantial damage to the wings and left horizontal stabilizer. The pilot reported that there were no preaccident mechanical problems with the airplane.