Jack,
This is indeed part of the Alembic Series I and II experience. Because of our large full-range single-coil pickups, and the fact that the hum cancelling coil is not stacked directly under the pickup coil, rejection of audio frequency interference can be an issue. Worse if you raise the noise floor by heavily compressing the bass signal...
But this pickup arrangement together with the great preamp electronics are also the reason these basses sound so amazing. So for me it's always been worthwhile to find a workaround to the noise issue. That used to mean just turning the instrument to find the quietest position, even if that sometimes meant pointing the neck directly at the audience. Ha!
I have no experience with ferrite beads so can't say what impact they might have in this situation. I could be wrong but I don't think that technology would apply here.
Your bass should already have its cavity coated with shielding paint, it came from the factory that way. It should look silver in there and you should find electrical continuity between the 1/4" jack and any of the backplate screws.
And unless Ron's magic upgrade method has changed, it's my understanding that they DO need the entire bass for that. The build of the instrument, including where the brass plates are, effects the noise rejection. Ron hand-tunes the card to match each individual instrument. I could be wrong about that too, maybe there is now a simpler option that can be done to the card alone?
So apart from: 1. finding the quiet direction, 2. judicious use of your standby switch, or 3. perhaps an in-line volume pedal, there isn't much to be done beyond getting the bass to Alembic HQ for the upgrade.
We're glad to hear you're enjoying the bass and hope you can find a way to make it your main axe! It would also be great is you can make it by the factory on your trip to this side of the planet. That's a unique experience and bound to make you more of an Alembic nut than you already are.
Jimmy J