According to the pilot, the airplane had about 9 total flight hours. He performed a touch-and-go landing and during departure the flaps would not retract. During the first attempt to land, the airplane was not in a position to land and a go-around was conducted. On the second attempt to land he began a straight-in approach about 3 miles from the runway since the flaps would not retract. On touchdown, the airplane's nose impacted the runway and the nose gear collapsed. As the airplane slowed, the pilot elected to exit the side of the paved surface into the grass, in order to avoid closing the runway. Subsequently, the nose gear dug into the soft terrain, the airplane nosed over, and came to rest inverted, which resulted in substantial damage to the vertical stabilizer and rudder. Examination of the flap system revealed a blown fuse, no other preimpact malfunction or abnormality was found that would have precluded normal operation.