The pilot reported he was taxiing his ski-equipped airplane on a snow-covered taxiway. In preparation for takeoff, he said he made a left turn toward the runway, and the right main landing gear ski penetrated the snow crust, allowing the right horizontal stabilizer to strike the snow and sustain substantial damage. The U.S. Government Alaska Supplement includes an airport listing for Ophir. Under the Airport Remarks section, it reads, in part: 'Unattended. Runway not usable and not maintained.'