I didn't take the time to look at your preamp, amp, or sub but I've definitely run into similar situations in the past.
I've done the splitter cables coming out of the preamp to amps & subs. This doesn't work well for all components & impedances.
I've done the wireless connection to the sub..which still needs the signal plugged into the transponder that wirelessly sends the signal to the receiving device plugged into the sub. This also involves plugging extra devices in somewhere.
You can wire directly from the amps speaker outputs to sub.
I have found something that I prefer over these others. SVS makes a line level device that wires/connects to the left & right outputs on the power amp. And then allows you to run rca cables from this device to your sub. No balanced outputs though.
It's a sub $100 device that works.

