Tub-Pocalyse Scenario
I've said before much of the discussion around heat prep focuses on daily, real-life issues in the first world, like air conditioning maintenance, proper use of electric fans, swamp coolers, managing humidity, backup power, solar shading and personal cooling products. That's all important, but my brain always goes to more extreme scenarios where normal first world parameters, like going to the air conditioned mall when your home system fails, don't apply.
I call this one, "Tub-pocalyse."
Temperatures have soared to unlivable levels. All you've got is running water and an electric fan. There is nowhere cooler to retreat to. Fill the tub with water, open the door and windows, point the fan at the water and get in once the water feels coolish to the touch. As long as the web bulb temperature is survivable, you'll get by as the fan will both cool the wet, exposed parts of your body and cool the tub's water towards the wet bulb temp. Air circulation is critical so the humidity from the evaporated water can escape. Eventually you'll need to get out in order to avoid maceration of your skin, but being completely wet with a fan blowing should buy you a decent amount of out time before you need to get back in.
The same principle could be adapted to a small, outdoor pool or pond if they were shaded and the water temperature could be brought down far enough.