Or... a cheap DIY method is to buy a broom stick handle and cut it into 4 one-foot long pieces.
Drill a few holes around the outside of your hut, attach rope to wood, and shove the wood under the ice to "brace" against the bottom of the hole. Tie the other end to your hut.
Kinda like a dog trying to walk through the door with a stick too long to fit through.
Sure, you have to drill a few more holes and get your hand wet.... but pretty cheap option!