If we can take a step back for a minute:
Good effort on the troubleshooting - sounds like the Xover stage (if not the whole preamp section) took a dump on you on the HU.
However - before we go thinking up a bunch of different ways to work around this HU issue, I'd suggest taking a minute to try to figure out WHY this happened to begin with! Because I've seen this happen myself, in person, and it's ALWAYS meant "there's something that needs to be fixed!"
Typically, it's caused by a bad ground on the amplifier (or something else in the RCA signal path), and what that causes is the amplifier to "seek" a ground, to complete the voltage circuit, through whatever means it can...
Any time I've ever seen this happen, it was due to this, and it took out the HU, or some part of it.
Early in this thread, there was some mention of this, and wanted to make sure we had a real positive conclusion here.
So, I'd check that ground - what are you grounded to?
Make sure that:
1) it is grounded solidly to CHASSIS METAL - not something bolted to something, not "I slipped a ring terminal around a nut", no compromises - actual car structural chassis metal.
2) make sure it is tightly secured. I've seen too many cases of "it was the only screw I had!", something loose, something stripped, a wood screw with a tapered seat, etc. Use the right screw, or better yet - a nut and bolt with washers - and make sure they are tight.
3) You aren't grounding to a painted surface. Paint is an insulator. Scrape / sand / wire wheel it off, then secure your ground, then paint or dilectric grease over it.
Your grounds aren't anything to trifle with - now you know why!
(sadly, it's not just "noise" issues

)