Quoted from southofi-10:The schematics tell about the score and reset relay,buy nothing specific on what control the latch coil.
Are you sure? Here's the Vari target circuit from Big Indian:
Big Indian Vari target (resized).jpg
Does your Vari Target Reset relay come on only once the target is hit, or is it always on? If it's always on it could be the BX switch in the red box. If it only comes on when the target is hit, the Score Motor 2B switch is more likely stuck closed.
Edit: Reread the original post. If you can latch it by hand, then the BX switch isn't the problem.
/Mark