Not sure if you've read
my post, but I've searched using same criteria you are talking about and found nothing. Only thing I didn't do is to look for station near moon with my
night vision turned on, which, in that case, my quest was futile.
Your search was in systems already catalogued in EDSM, though, and catalogued in sufficient detail to have moons of gas giants listed - the majority of systems, even within 1000 LY of the bubble, are either not recorded in EDSM at all, or not recorded with full system details (though this has been slowly improving since 3.3, as the FSS makes it quicker to send planetary details to EDSM). Within a still plausible 3000 LY radius there will be far more gaps.
I wouldn't expect Frontier to have placed the station in a system which has already been visited, so EDSM searches can be great for working out what sort of system it might plausibly be in - as Jordan Qwent did - but not for finding the right system.
For a quick illustration of the scale of the problem, the bubble sits over the intersection of four major regions - Wregoe, Wredguia, Synuefai and Synuefe. Based on the density of the galactic disk in the Orion Spur, there's no reason to expect any of these regions to have signficantly more or fewer stars than any of the others. As of April 1, EDSM's catalogue had the following numbers:
Wregoe - 342,905 systems
Wredguia - 299,279 systems
Synuefe - 408,031 systems
Synuefai - 278,815 systems
Even assuming that Synuefe is fully catalogued in EDSM - it's not, far from it! - that implies around 250,000 uncatalogued stars between the other three, many of which will be red giants which might contain suitable gas giants.
(This does also imply that even if we're correct that the station is in a red giant system relatively near to Sol, it will require either an extremely large search or sheer dumb luck to actually find it. But possibly there are or will be other clues which could narrow it down further)
