Put a fan in the window and keep a wet towel behind it. Sit in the breeze.
Evaporative cooling is fairly cheap, if you live in a dry climate. Can't you get something like this sorted to work in your area or is it too humid for this type of air conditioning to work?
With refrigeration, you can usually expect to relieve about twenty five degrees F, evaporative only about ten ot fifteen, but even ten is better than no relief at all.