Solution!
On the 192.168.0.197 server, installed caddy, and ran each of the directories under its own port.
192.168.0.197/website-1 -> 192.168.0.197:8001
...
192.168.0.197/website-6 -> 192.168.0.197:8006
Which made it much easier to then proxy the websites within a separate container.