I'd like to thank everyone again for all their input and help. I was able to successfully install the 2004 update the other night. The unfortunate news is that I didn't do anything different, obviously other than wait awhile. Using the Windows 10 update assistant seemed to work for me this time around, as long as you run it as administrator.
I should note, on the Windows Update settings, it still informed me my computer was not compatible for version 2004, but obviously the installer had no problems with finally upgrading me.