Check out the enTourage eDGe if you like. It has 2 screens, one e-ink and one LCD. You can open a web page on the LCD screen and tap an icon to turn that page into epub or pdf to read on the eink screen. Also, you can look things up on the LCD while reading on the e-ink.
It's chunkier than the others mentioned, but probably better than carrying two separate devices.
(BBC News site easily accessible.)