I agree. Measuring the pinout, then making an internal connection with a terminal breakout, and a slot cover bracket, is the most sensible way forward with this enclosure.
You'd need another 34 pin male IDC breakout to connect to a floppy ribbon cable, in place of a diskette drive.
Example terminal breakout
https://www.amazon.com/Connector-D-sub-25-pin … t/dp/B073RG3GG6
DB25 slot brackets that you could mount it to.
https://www.amazon.com/Pc-Accessories-Stainle … n/dp/B00CBAHRYO
Example 34 pin IDC breakout.
https://www.amazon.com/Sysly-Breakout-Termina … g/dp/B074THBZG5
For FULL clarity:
The IDC breakout goes on the floppy ribbon cable's female IDC34 connector. Using it, you route suitable wires to the DB25 breakout you have hanging off the slot cover. You would attach appropriate Molex power lead on the DB25 breakout, at the pin locations you trace out with your multimeter.
Once this is all said and done, this is functionally the same as plugging the diskette into the internal floppy ribbon cable.