Prior to attempting a touch and go landing to a frozen, snow-covered lake, the pilot performed a low pass to check the surface conditions of the lake. He selected a narrow, plowed road with snow banks on each side to land on. While performing the touch and go landing, the airplane encountered a rough area on the ice-covered road and skidded to the left. The left main gear contacted a snow bank on the left side of the road and the airplane flipped over, sustaining substantial damage to the cowling, wings, vertical stabilizer and rudder. The pilot reported no preaccident mechanical malfunctions or failures with the airplane that would have precluded normal operation.