BT-956CD and variants is the BusLogic card I mentioned.
edit: Hmmm manual is on archive.org https://archive.org/details/manualzilla-id-68 … ge/n33/mode/2up and at a quick scan all I see about floppies is it needs a normal floppy drive for driver install, and that it supports a config switch for removable media so the OS doesn't freak out when you change disks.
Another idea occured. Floppy Tape drive manufacturers started making alternate address floppy tech controllers for their tape drives so they could be used independently of floppy controller, and maybe they got a feature or two extra... the ones I have seen have been ISA... I'm just wondering if floppy tape drives lasted long enough that they made a PCI version... it would however need a lot of messing around to access a floppy drive plugged into one and best you might hope for is a dump of contents or image rather than an an online filesystem.
Unicorn herding operations are proceeding, but all the totes of hens teeth and barrels of rocking horse poop give them plenty of hiding spots.