No problem whatsoever this evening plugging the S-950's output into the RCA plugs - worked perfectly, no hum at all, very clean and clear sounds. Graham, I really don't believe the problem is with the Bose L1 Compact at all. Unfortunately, I will not be sailing to Fort Meyers this winter, just the east coast and Keys, so no onsite evaluation or diagnosis from me unless you want to drive to Marathon, which is about an 8 hour haul from your place.
All the best,
Gary

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PSR-S950, TC Helicon Harmony-M, Digitech VR, Samson Q7, Sennheiser E855, Custom Console, and lots of other silly stuff!
K+E=W (Knowledge Plus Experience = Wisdom.)