Are window units terribly expensive there? When our air broke last summer I put one in the kitchen and one in my bedroom window then had a big fan to circulate the air and it kept the house tolerable.
I don't know if it will help you or not BUT if you put ice packs in a pillow case you can put it under your neck and ankles when you sleep. My doctor told me about it because they are major circulation points for the body it helps cool you down.