See attached. I want a Voyage Mini, a.k.a., a Kindle Trek.
The idea would be to first shrink the screen, to say 5" or so. Then drop (as much as possible) bezels off all but one side, so the device is almost full screen. Place buttons on that one side (doesn't matter which) and then insert an accelerometer so the device can tell which hand you're holding it with and rotate the screen accordingly.