Ubuntu :: SSH Into Desktop On Remote Network

I've run into a bit of a problem with an attempt to remotely admin a friend's computer. Here's the basic layout:

--My Ubuntu is connected via wireless router, port 22 forwarded properly. I can ssh in and out as I please to other hosts.
--Across the internet, their Eeebuntu is behind a router as well. Port 22 may or may not be properly forwarded. Nobody in that house really knows how to access their router. (I accept this may be an issue I'll need to handle)

What I'd like to do:First priority, ssh access to the remote Eeebuntu.Assuming the remote router does not forward port 22, would I be able to have the remote computer remote forward, say my local port 10022 to remote 10022, thus allowing me to ssh user@localhost:10022 and bypass the need to access the router?

Lower priority, prepare a bash script for my friend to download that would require one input of the root password, and go through the full process of installing OpenSSH, setting up the server, and initiating contact to my computer. The ideal situation is allowing my friend to start the computer, run one script, type in one password, and walk away.Any ideas for better remote admin options are welcome, as well as comments/suggestions from anyone who has attempted this backwards form of ssh access.