I found
bare foot boots! Okay, so technically they're overshoes, but they're waterproof and have no internal structure. Now I just hope that I can get enough wool socks in there to keep me warm. This means I need to buy more wool socks.
(The boots I bought in November aren't flat enough, I can't get enough socks in to make them warm, and they've slipt open so they're not even dry anymore)