Also, has anyone heard that it is straining or damaging to a truly balanced, direct coupled amplifier to use high level inputs?
I am interpreting this to be asking whether feeding loudspeaker output to subwoofers adds significantly to the load on the amplifier.
The answer is no.
The reason is that the impedance presented by the loudspeaker input at the subwoofer is very high so very little extra current is drawn. The subwoofer would prefer a line-level input of around a couple of volts, and line level impedance is typically 48,000 Ohms versus a few Ohms for a loudspeaker.
The extra current needed to provide a signal to the amplifier(s) in the subwoofer is about 10,000 times less than needed to drive your main speakers.
In my post above, I suggested two options. Only you are in a position to try them and the extra cables needed are inexpensive compared to the investments you have already made.
What do you think of your SoulNote?

