I've been thinking about these problems for a couple of weeks now, and I think the solution is to build an Audrey server to take the place of the 3com servers.
Ideally, this would be a customized Linux live CD (like Knoppix). I use a customized version of DamnSmallLinux to run the Slimserver for Logitech/Slim Devices' Squeezebox, and a similar setup would work for Audrey.
It would need a POP/IMAP/SMTP server and client, to exchange mail with secured mail systems and serve it to Audrey.
I think that proxying XML feeds with Audrey-compatible styles would make pages on weather.com and other common sites viewable again. Alternatively, it could make the Audrey look like a mobile device to these sites, which causes them to serve minimal pages that might work as well.
First, I need to think about what I want it to do. I'd like to keep the Audrey as "stock" as possible, I'm not all that keen on the replacement images - I like the idea of the Channels, and don't want to turn it into just a weak web browser. Maybe we need to revive the idea of building our own channel servers.