Les,
I wouldn't recommend trying to power an RPi with less than a 1A supply. 500mA is about the minimum, but I've found they can be a little unstable with anything less than 1A, and more if you intend to power other devices (via USB, onboard GPIO, etc) from the RPi.
Also, why the LCD controller? The RPi outputs an HDMI signal, so why not just use a portable (ie 12v) LCD TV, such as this? After a little digging (and translation – its French) it seems that one draws 1A (12W at 12v) (and can run of batteries).
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cheers
Paul