I think you'll struggle to get this to work. I recently setup Shairport
to be able to use a Fedora laptop connected to my HiFi as an Airtunes target.
I've tried to stream video to it, but it seems to only allow you to do audio.
I know this is not exactly what you want to do, but squirting the video over the air is something that doesn't seem to have been reverse-engineered yet.