My run of the ice lake (spoilers)

[Jetsetlemming]

I used.. my feet. O_o as you can see from the video. I just ran across and jumped from broken piece to broken piece across the ice in about 30 seconds.
And there are more than 2 boards from breaking the hut, you get six, two from each enclosed side. I think you might be able to smash the roof as well, never bothered to try. I couldn't get teh board placing right, I kept accidentally stepping on the ice. I just decided to attempt to run across without bothering with the boards after discovering you can stand on the big broken pieces of ice without worry because they float.