Not sure how I found this thread as I hardly browse the forums...but whatever I'll bite.
Gotta try a bit harder than just looking at Cherry.
Tbh, the easiest solution is to tack on a clicker speaker or solenoid. But I do agree that's cheating.
The easiest to find would be one of these.

 HP 46010AE
HP 46010AEIt uses Clicky Fujitsu Leaf Spring. The tactility is masked through the leaf spring so there is *almost* not tactility. Has to be a 46010, the other model numbers are domes AFAIK.
A recent discovery. CC Mouse Trap switches.
 Computer Communications 303 Keyboard
Computer Communications 303 Keyboard
Another would be this Kaypro keyboard. Unfortunately I don't know exactly which Kaypro this was for. Just approximately when it was built. This uses a linear foam'n'foil mechanism with an Alps like click leaf so there is virtually no tactility other than the vibration from the click.
 Kaypro 386 Keyboard
Kaypro 386 Keyboard