I do something similar. I have a tiny house with a floor covered in unglazed clay tiles. On really hot days, I pour water over the floor from a watering can and sweep it around the place with a soft broom.
Another tactic is to wash the bedclothes and hang them to dry indoors - just a rinse in plain water is often all they need to get the night-sweat out.
I'm also a fan of wet t-shirts in that kind of weather. For that job I prefer synthetic ones that don't go see-through or clingy when they are damp. I just treated myself to a few of these, reduced to clear and made of recycled polyester.