ORIGINAL: eelriver
Try this: Get a smaller crate. If she has too much room she'll just go to the other end of the crate to relieve herself. She is less likely to dirty her crate if she has to lay in it.
The crate is already really small. I have a divider and made the crate just large enough for her to fit in. I know all about dogs not wanting to dirty themselves. That is why I am a little concerned.