We had the same problem when we moved into our place - too many awkward bathroom doors. We bought a really cool curtain from anthropologie - it is thick and lined and just one panel is more than wide enough to cover the doorway. We put a hook on one side of the doorframe to hold the curtain back when we want to be able to see in. We've been really happy with it and they have lots of styles to choose from.

Here are their regular curtains. There are also a few on sale which you might like here. (Scroll down the page a bit to see the curtains.)

Anyway, don't know if it will work for you, but the price is about the same and the profile is a little less than having a screen sitting around.

Good luck!