The repeater IP is currently dynamic (I can probably set it as fixed)
and falls randomly between 100 to 190, which would be the gateway to
access the printer. And that's where my routing knowledge tells me there
is a problem.
So, your system is on the 192.168.0.x subnet and the repeater IP is as well. You can
ping the IP repeater, yes?
And the HP printer has an IP address of 192.168.1.x. Do you know what "x" is?
It sounds to me that you should first fix the IP address of the repeater. After that, it sounds as if you
need to add a static route on your system to the 192.168.1.x subnet via the repeater.
On your system, what it the output of....
ip route show
Dear Ed,