But how do I get the LiveCD to boot on a ZV6000?
I haven't had any luck so far with the LiveCD. If all you want to do is check out some of the base installation packages, maybe someone here who knows what they're doing can give you a boot parameter to change the video driver to vesa or kill the 3D acceleration.
In any case, I think that the best option with the ZV6000 is installing rather than using the LiveCD, because there are so many things you have to do to make it work, and you can't install any fixes with the LiveCD. Even if you manage to find some boot parameter that will get you a working driver for the video card, you need to install hsfmodem to use the internal modem (which was a must for me, but it won't work with the AMD64 version), you have to use ndiswrapper to get the wireless card working, and you're probably going to want to get the fglrx driver for the video card.
Other things that you'll probably also want to tackle are the media card reader, the volume controls (touching them freezes the system so you have to restart), the touchpad (too sensitive, you'll need to make some changes to xorg.conf I think to fix this), and Totem (I got it to open once with ATI's proprietary driver, but it still wouldn't play video files). As with any distribution, you'll also need to install some packages to play music files (mp3s at least). Maybe there's a way to do all this with the LiveCD, but I haven't figured it out (again, hoping someone with some know-how will chime in here).
Tweaking ubuntu to work with your system is the fun part anyway, so why bother with the LiveCD? Just set up a partition dedicated to Ubuntu, set aside some time and have fun! ;)