Interesting timing, I actually want to do this with my Pi (but wired). The only thing holding me back is the cost of the display - any suggestions for a cheaper non-touch display?
http://www.buydisplay.com/default/10-1-inch-raspberry-pi-scr...
I would be perhaps tempted to instead look for an old Android tablet. If you could get a 2013 Nexus 7 or some 10" tablet with a decent screen it might be a cheaper and easier way to do it. USB power + either some Android app or depending upon the device you might be able to run a different Linux distro on it. Looks like the Linx 10 goes pretty cheap sometimes too.