Nice idea, but check for one thing... these little projectors can be supremely noisy. It would be great if this unit had some sort of quiet cooling mechanism. Even liquid cooling.
I bought a DLP pico projector recently for around $200 (at a Japanese supermarket in Osaka). It has the same resolution, HDMI-in, a tripod socket, a battery, and a built-in Wifi access point that lets PC and tablet clients project content wirelessly. But man, its noisy.
This Gigabyte unit seems to have HDMI-in and a tripod socket too, and the pico projector can power up separately from the NUC unit (the PC). Given Intel HD 4400 graphics that the NUC uses can drive a triple head setup, I think the entire unit can drive two LCD displays, plus the projector separately. It would make a sweet unit to drive an external display or two, with an FTIR-projected touchscreen as the user input interface.