As I see it, Graham’s clutch satisfies the need to disengage the Leadscrew, but so that it can only re-engage with the geartrain in one position.
Even if you can’t fit Graham’s clutch, as drawn, could you amend the dimensions, but retain the operating principle?
FWIW, made for my mini lathe, a sleeve to engage the key on the Leadscrew, but with a separate, extended key to engage the gear on the Leadscrew, (And to pass through any spacer).
In this way, the gear can only engage to drive the Leadscrew in one postion.
Howard