I'd have to echo the suggestions to blackout your windows somehow. Blinds or drapes would be the first way I'd try to go. Maybe Home Depot would have something to do that, or a specilaty store for blinds/drapes/linens, etc.
If you don't have neighbors that would get upset over the appearance, or rules against it, you could try taping something to the window(s). I've seen aluminum foil used in the back of a friends house. It's ugly but effective, and if you layer it right (thick enough) you can cut a small piece that'll fold down when you want to look out, and fold back up when you don't, or could use tape or some other method to fasten it.
As to hating light, you haven't hated until you have a night vision scope costing $$$$, and are waiting for the sun to go down so you can use it for the first time. Or when they double street lighting in your area and add it to the parks that once were dark. Then, they make subdivisions out of empty land around your friends houses on the outskirts of the city light pollution...
Edit: Okay, I see it's a door. Wheter you have a screen or not, the cloth thing is gonna interfere with circulation. Being in the humid south as you are, that's not a good thing. Buy some sort of blindfold for sleeping. Get a soft one that fits right. Be like the Hollywood sterotypes, sure, but they do work great and based on my supposed understanding of your situation, that should suit you best. Goodl luck and keep updating.