You are making a mistake somewhere. The LiveCD does NOT use grub as a bootloader, it uses Syslinux.
Boot from the Desktop Live CD and press the Down-Arrow when you see the below:
Press Enter and select English:
Press F6, go down to
nomodeset
, and press Enter. You will see an X next to it. Then press Esc, and "Try Ubuntu"If the above doesn't work, repeat steps 1-2, but press F6 and then Esc to see the command-line. There, replace
quiet splash
withnomodeset
and press Enter.