Hello Don...
I found your forum when looking for information about the QX-11. I actually owned a QX-11 when I was young (about 15).
The QX-11 was a MS-DOS machine, with two 3.5in floppy drives. It included MS-DOS 2.11 in ROM (so no need to boot from floppy), and it was "95%" compatible with the IBM-PC.
One of the incompatibilities with the IBM-PC was the video output. By default the QX-11 came with a 640x400 / 320x200 video resolution. The monitor was a green phosphor monitor that show really crisp video. As a matter of fact, the QX-11 was able to display 80 text columns, which was not the normal back in the day.
In order to run some MS-DOS programs, specially those programs that use IBM-PC native video modes (or graphics) you have to add a CRT card. The CRT card would emulate the IBM video (but still using a 640x400 video resolution). I saw with my own eyes a QX-11 connected to a color CGA monitor, so I know it was possible to create a video cable that will connect your video output to a regular CGA monitor.
I found the QX-16 technical documentation manual outside this forum, but probably you guys already got a hold of it. But by reading the manual I am convinced that the QX-16 was EPSON's attempt to create a hybrid machine, some kind of QX-10 + QX-11 in one body.
The QX-16 comes with a proprietary video card (based on the NEC 7220 video chip) and it also have a CRT card to display "IBM" video (just alike the QX11). The QX-10 comes with the Valdocs system, I remember my QX-11 didn't come with Valdocs but it actually came with an EPSON "Valdocs" keyboard.
I don't remember if I had to plug my monitor to power or if the power was provided by the PC. It is interesting though that your EPSON Monitor do not have the QX-11 (Q601A) as a compatible machine, so I wonder if the QX-11 and the QX-16 share the monitor.
Based on how close the QX-10, QX-11 and the QX-16 were released, I have no doubt in my mind that EPSON used the same design for all three. I think all three QX-1x will share the same power supply, same video circuit, same keyboard interface, etc
I'm attaching a picture I found in facebook of someone that had a QX-11. I actually did try to reach out to this user to see if he still have it but I haven't been able to get a hold of him...
I'm from Venezuela (a country in south america) but living here in the US. I actually contacted EPSON in my country to see if they have more documentation or an actual QX-11 in storage. If I heard anything from them I will share it here.
Please let me know if I can help with the restoration of this QX-16 .... BTW, if you can dump the ROM for QX-16 somewhere that will be great. If you don't have an EPROM programmer I can actually borrow you mine ....
Thanks
Victor Prada

The QX-11 ... can you tell if that's the same monitor you have for your QX-16 ?