or a domain with a random string of characters so no one could reasonably guess it? Does it matter?
That does not work. As soon as you get SSL certificates, expect the domain name to be public knowledge, especially with Let’s Encrypt and all other certificate authorities with transparency logs. As a general rule, don’t rely on something to be hidden from others as a security measure.
Try diasbling the second DHCP server altogether. You only need one, since you have a flat network.
Are you sure there is exactly one DHCP server running?
I like Miniflux.