The pilot stated that after the approximate one hour flight, she configured the airplane for a 3-point, short field landing. She was planning to land on the airstrip that slopes uphill towards the east, with shallow ditches on either side. After touchdown, the airplane rolled about 90 feet and began to veer to the left of the center. Despite her attempts to correct with right rudder, the airplane did not respond. The pilot added engine power in an effort to increase the airflow over the tail and the airplane immediately veered right to about a 70 degree angle across the narrow strip. She subsequently added full power in an effort to abort the landing since the airplane was nearing the down slope of the ditch. The right main gear hit the far side of the ditch and she retarded the throttle and brought the airplane to a stop. During the accident sequence, the airplane incurred structural damage to the gearbox. The pilot reported no preimpact mechanical malfunctions or failures with the airplane that would have precluded normal operation.