To avoid the whole hair thing, you could simply not wash your hair everyday. Wet it, but not shampoo and condition it everyday. If it is the simply wetness that makes it greasy then you can wear a cap of sorts, or just take a bath.

I love showers. They are a good way to relax and collect thoughts. Sometimes I just sit there, thinking about things or nothing in peculiar. Then again, I am a hydrophile.

EDIT: I shower minimum once a day, every morning to wake up. Without it, I feel gross and dirty.