I have seen tender Brugmansias, Colocasia, and Tamarillos succeed, in similar conditions, when there is a windblock. For instance, when a patio is surrounded by walls on four sides, with an open roof, or between a fence and a wall.
I don't have a logical explanation. because I have seen some ice, around, and icewater. But, something about that cold wind is especially damaging.
Also, keep it off hot walls and glass, and mulch to keep the ground from cooking it.