I went to
this website to look at their lights and thought the Relight 4-LED light might be good, so called them.
They said it really would not do, but were working with Sony to develop a light specfically for the Reader. I was told it would be out next week on their website (above).
Unfortunately, it is not rechargable, but hopefully it will work well. They did not yet know the model number or price, but said to check the site next week.
Fingers crossed.