I tried to cheat a little by installing the drivers while in Safe mode. I was able to get the drivers installed, but then when I tried to boot into full mode, the computer boots into the windows logon screen and then it BSOD. Turning off the eGPU enclosure allows the machine to resume normal operations.
I am a bit at a loss, here.
I am considering disabling the integrated GPU, but I am a little scared that doing so might leave me completely blind, and unable to get into BIOS to re-enable the iGPU.