Using the Duo image..
I played around a bit more and was able to get past the black-screen boot by adding "nomodeset" to the GRUB entry, but since there's no way inside the Android-x86 OS to change the resolution, this doesn't help much. I've been unsuccessful at finding a Versa VGA mode that will let you run 1920x1080 .. I tried "vga=ask", and have tried that resolution at all different color depths, but nothing works.
Additionally, even when you can get Android to finish booting and display anything at all, I've noticed a few other problems:
1. The touch screen doesn't seem to work at all
2. There seem to be issues with the accelerometer being read properly, as the display is constantly rotating unless you've got your laptop sitting on a table. If you can manage to make it to the display settings, you can turn off rotation, which fixes that issue ..
3. No wifi .. doesn't work at all
I assume all of these issues are due to hardware/driver differences between the XPS12 and the Duo, but I'm afraid I don't have the Linux-fu to be able to figure out how to build an Android image with the necessary drivers for the XPS12. If someone could help me walk through the process or point me at a good tutorial for how to do this, I'm confident I can figure it out and would be happy to bash my head against it some more and hopefully put something together.