Assuming you don't have an air conditioner, close up your house early in the morning and open it up when it cools down in the evening.
Or you can buy a floor air conditioner and set it up; they aren't particularly large. You could even set it up in your doorway if you're that strapped for space.
I would not recommend "hanging wet towels" to absorb heat. All you'll end up with is a wet floor.
Source: Living in San Gabriel Valley my entire life. (Where it gets a lot warmer than just 86 degrees.)