Revit :: Visibility Of Sub-objects In Nested Family

I've created a family for an exterior canopy system that has many variations (see attachment).  It works for all options except the final request from the intended users.  When the canopy is very short, the interior outriggers do not need cable tiebacks to the exterior wall.
 
Currently, the outrigger family, which is nested and arrayed in the host family, is composed of multiple objects, four of which comprise the cable support that needs to be able to be turned off, and one that is the outrigger that is always visible.  I've tried several ways of getting the cable assembly to turn off while leaving the outrigger visible, but all without success.  I've tried editing the array and mapping the cable assembly components' visibility parameter to a Cable Option Yes/No parameter.  I've tried making the cable assembly its own family and nesting that first in the outrigger family and then mapping its arrayed instance to a Cable Option parameter.  I've tried various combinations of Instance versus type parameters in both the Outrigger and host Canopy families, all to no avail.
 
Given the way the family is now designed, can this be done or must the cable assembly be its own family and arrayed separately?  Note that there are parameters to control the cable assembly size.