Not making any guarantees, but Ambient Weather does have a 'Chat Now'
support feature on their site that might help.
Also, the WS2080 has an A/C power connection, you could possibly try
something like this(If I remember right, with A/C yu could eliminate
the batteries altogether, I don't think they're required.):
http://www.remotepowerswitch.com/web-remotepowercontrol.html
We have something similar here for our servers so if I need to force a
reboot I can, you could plug both in, and then connect to the device
via an online connection, and cycle power for both the computer and
the console. Not the most elegant solution, but from the sound of your
setup, it might work out.
Of course, you could just stick a webcam in front of Ye Olde 'Weather
Rock', too... :-)