Tepid showers, not cold showers, will bring down your body temperature, but not to the point where it kicks on your internal furnace. If you get too cool, your body will start the process of warming you - exactly the opposite of what you intended.
Placing your feet in a basin of tepid water also helps bring down body temperature without causing foot/leg cramps.
Freezer gel packs really cool you off, especially if you place them at the top of your thigh near your groin.
Keep sipping water to avoid dehydration.
Electric fans work outdoors, too. Keep it and the attached cord off the ground and away from moisture, and use an extension cord rated for outdoor use. A spray bottle pointed away from the fan but between you and the fan produces a refreshing mist.
Loose light colored cotton clothing might not be the most fashionable, but will be comfortable. I've also found a few items make of bamboo and of high-tech fabrics intended for runners to be cool.
If you feel light headed, dizzy, nauseated, short of breath, are hot but not perspiring, get some help. You could be headed for heat stroke.
Yes, I do think these extreme weather events will occur more often. Take good care of yourselves.