There is no new CD or VGA requirement. You can still prepare a media in advance.
To do this either boot another computer from the CF, or if not possible, do so via a virtual machine. "qemu -hda /dev/sdX -cdrom CorePlus.iso" would let you to install to the CF via the gui installer. Of course manual ways also work, and the methods have not changed - install a bootloader, copy files.
Tinycore is simply core + X + wm + wbar, so no difference.