You could just use a wireless video sender, if you are not using HDMI anyway, these can be had for a tenner off eBay..

Might save you some headaches trying to solve something that looks like it's not possible, and even if it was I expect it would be a significant drain on the CPU of the Pi..

@LiqwdE ah ok. I don't actually know - I didn't read it in detail. If it requires software probably not.