The pilot said he was attempting a touch-and-go landing in a ski-equipped airplane on a snow-covered mountaintop site, which was surrounded by higher mountains. Before beginning his approach to the site, he determined the wind conditions, and then planned an easterly approach into a 10 mph headwind. After landing, he turned the airplane to the north in preparation for takeoff, and as it passed out of a wind-protected area, a strong southerly wind lifted the airplane's tail. The pilot was unable to control the airplane in the strong wind, and it nosed over, sustaining substantial damage to the wings and empennage. The pilot reported that there were no preaccident mechanical anomalies with the airplane.