I've also got a G6 and it is possible!
I had the same issue, and it happens on every distro I've tested, follow the instructions below and it'll work.
First, you need to boot into the live media, and where you are confronted with the options to boot (default, compatibility, memory test etc.), select default and press tab to edit the options.
Once here, add the word "nomodeset" after the "--" (include a space so it's: -- nomodeset).
This should boot the OS, then drop...