I equip it when I need to get close to the Darknut/Iron knuckle/whatever they are. And then unequip it when I'm out of range. A bit of a hassle I know, but the Cave of Ordeals slowly depletes my hearts, and potions.
Or you could just equip while having 0 Rupees, put on the Iron boots, take out the Ball and Chain, then go for a walk in the snow.
