Prior to setting up for a visual approach to practice touch-and-go landings, the pilot overflew the airport, checked the wind sock, and verified the wind was from the south at 10 knots. Given the wind conditions, the pilot entered the traffic pattern for a landing on runway 15 (2,480 feet long by 30 feet wide; dry asphalt surface). During the first approach, the pilot determined the airplane was too high and he executed a go-around. The pilot stayed in the traffic pattern for a second approach to the runway. After touchdown on the runway, the pilot realized his ground speed was higher than normal and he proceeded to apply the brakes. Unable to stop the airplane before the end of the runway, the pilot steered to the right to avoid a guard rail and went off the runway into a field. The nose landing gear impacted a fence which resulted in substantial damage to the fuselage. Two pilot-rated witnesses observed the landing and noted the wind reversed direction while the pilot was on the second approach and landing attempt. The pilot reported no preaccident mechanical malfunctions or failures with the airplane that would have precluded normal operations.