DIY ARM laptop for <$200

I know that we keep hearing about Chromebooks and all kinds of very inexpensive computer systems intended for students or people in the developing 3rd world, etc..

You might think that it is impossible to build any kind of computer that you might want to actually use for very little money.  

You would be dead wrong about that!  

Let's have a look at what 5 minutes of Google searches turned up:

Case: http://www.containerstore.com/shop/office/paperFileStorage/boxes?productId=10006269

Keyboard: http://www.rakuten.com/prod/favi-smartstick-mini-wireless-keyboard-with-mouse-touchpad-wireless-rf/242626199.html?listingId=324698849&scid=pla_google_Quantum-Wireless&adid=29963&gclid=CJ6FwO-k-r8CFVQV7AodY3EA9g

Screen: http://www.adafruit.com/products/1678?gclid=CPe4lL-l-r8CFQxp7Aodpk4AIQ

Case                   10

Kybd                   35

LCD                    65

-------------------------

Subtotal             $110

Then either: 

BeagleBone Black rev C: ($55)  http://www.adafruit.com/products/1876?gclid=CIiGo4im-r8CFSpp7Aodcx4ALw

Or 

Raspberry Pi B+: ($35) http://www.element14.com/community/community/raspberry-pi/raspberry-pi-bplus?CMP=KNC-USA-RPI-BPLUS

Or  

BOTH boards for a Grand Total of $200.  (Yes I said "less than" - so choose one board)

This is not a pretty design by any means but it will work 

Both boards run Debian by default – and you have many options to choose from there.

OR...

You could forget what I just told you & spend $300 on just a board that can run Windows: http://www.pcworld.com/article/2459200/meet-microsofts-sharks-cove-a-raspberry-pi-style-mini-pc-running-windows-8-1.html

But obviously, that doesn't make any sense at all.