The pilot was attempting to land his wheel/ski-equipped homebuilt airplane on a remote frozen snow-covered lake that was surrounded by trees. After touchdown, the pilot noticed a high ground speed and very little drag on the skis, and with only 600 feet remaining to the tree line, he added power to abort the landing. After aborting the attempted landing, he said the airplane could not out climb the tree-covered terrain at the end of the site. In an attempt to cushion the impact, he applied full flaps and the airplane impacted trees. The airplane sustained substantial damage to the wings and fuselage. The pilot reported there were no preaccident mechanical anomalies with the airplane.