Out of curiosity I tried to find out how much these 'ice shanty' things weigh. I started by looking on Amazon (UK). I found several items described as 'portable' and weighing about 13 or 14 kilos. I didn't see the 'Clam' brand listed on Amazon, but I did find a separate listing for the Clam C-360 Portable model on Ebay, described as weighing 36 pounds (= 16.3 kilos). This seems rather heavy to be lifted very far by the wind. For comparison, children's paddling pools (see my post #48 above) can weigh less than a kilo.
Searching Google generally for 'ice shanty weight', I got various results suggesting much higher weights, even over 100 kilos, but I think these are for more substantial heavy-duty shacks, not intended to be portable.