Could the Internet Archive donate its holdings to a new nonprofit? If the servers were transferred to a new custodian and the anticipated bandwidth charges were paid forward, then what would they have to lose?
Adding bankruptcy fraud to the list of items on the docket is likely not the best way forward.
The data stored on the disk drives is what the world values, but it actually has very little economic value. Internet Archive should start selling off the storage/server setup to a different nonprofit at fair market value ("Internet Cloud"), and renting continued access. If some eventual creditor wants to claim that the specific data collection on the disks had a value that was improperly sheltered from bankruptcy, they would be free to make a copy.
The plaintiff would have seven years in which to have the court claw back the transferred assets and, as there's no way that it would come close to looking like an ordinary course-of-business transfer, it would not only make them more likely to lose the suit (by making them look even more like law-flouting criminals), but it would likely add a criminal charge to the mix (bankruptcy fraud).
The legal system in most of the bigger countries is not that naive. They probably cannot do a thing with their assets when a court case is pending...