Man up and soak a t-shirt in the sink, wring it out, put it on and sit in a lawn chair(or other chair that lets air through to you) in front of a fan. Re-wet as it dries. Make sure not to soak it with cold water. It can be colder than you think. Instead use lukewarm water so you get cool without freezing. Using a synthetic shirt will ensure no "wet T-shirt" look.
Wear a short sleeved shirt and put water on the sleeves. If there is a breeze or fan blowing on you, you can actually get cold. Use a squirt bottle, the sink or hose if outside to keep your sleeves wet. If you are outside and wearing long pants and you put water on your legs, the water will cool your legs.
Fill your bathtub with cool water and get in. Once you are used to the temperature, let some water out and refill with cold water. Keep doing this until you are sufficiently cold. Your body will stay cool for a long time after you get out.
Or just soak your feet in a bucket of cold water. You can do it almost anywhere and don't have to stay in the tub. The body radiates heat from the hands, feet, face and ears, so cooling any of these will efficiently cool the body.
Running cold water over your wrists for 10 seconds each hand will reduce your temperature for roughtly an hour, Takes 20 seconds to do and feels very nice if your wrists come in contact with other body parts.
Wear a bandana with water soaked on it and put it on your head.