My only question is, does your neighbor have decent internet? Do U? If so, you need a program to pick off the broadcast udp, resend it to your neighbors ip, then set up their router to foward to another pc, to then pick off, and repackage, and send back out on his local network as multicast.
Sure wan ip addresses change, but mine, comcast, hasnt changed in 5 years.
Delay really shouldnt be an issue.
I have controlled my lights dynamically in real time from a 3g smartphone. It wasnt perfect, but worked great for a cell connection. Hardwired internet should be darn fast.