Depending on where you walk, and what you would be willing to use/wear... I'd say try a small backpack. I have one that has a small, thin compartment that I'm certain a kindle (Even possibly a netbook) would fit there, and be stable. And there's a hole in the top specifically for headphones.
If it's specifically for audio books, I would even suggest maybe picking up a small media player to use for audio books. I have a Sansa Fuze that is great for just that.
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