Is there software available that will let you download your EE website/blog and then burn it to a CD for local viewing?

Nothing directly. There are a few spidering programs out there that will download an entire site.

Windows: http://www.httrack.com/ - Basically a graphical wget. Works really nice.

Mac: I just run httrack through Parallels. Though there is a Fink package out there, if you’re into that sort of thing.

Offline explorer

SiteSucker for Mac. link to sitesucker

You might like an Apache server that will host the site right off the CD.
A small readme might be required to instruct the user how to start the server.
What to double-click. You really can’t beat Xampp, just googling “portable web server” brought up several tutorials.

Just came across a need for this kind of thing again.
SiteSucker rocks.

Just a thought…encrypted flash drive vs. cd.

I just looked into a couple of those website on CD things. Including PHP & Mysql, so we’ll just run EE instead. It’s all read only (so that might cause a few headaches), but should be interested.