Color shader, and one of the Gradient maps could be assigned a Checker map, and one of the Checker maps could be assigned a Noise map. This procedure will assume you want to render the Checker map and its constituent Noise map to an element. So the material structure would be like this:
A&D material
Gradient (Diffuse Color)
Checker (Gradient Color #1)
Noise (Checker Color #1)
Color map button in the Arch & Design material to open the Gradient map settings. Youd then click the first map button (Color #1) on the Gradient Parameters rollout to open the Checker map settings. The material structure would now be like this (new map in italics):
A&D material
Gradient (Diffuse Color)
mr Labeled Element shader (Gradient Color #1)
Checker (mr Labeled Element shader map)
Noise (Checker Color #1)
Render Elements panel
Render Elements rollout, click Add. Choose the mr Labeled Element item from the list. Your custom element is rendered to an image file.
The following illustration shows the example described in the preceding procedure. The left-hand image shows the full material, with the Noise inside the Checker inside the Gradient, and the right-hand image shows a labeled element containing only the Noise inside the Checker. The element renders only the part of the Checker map that is used by the Gradient map.

Left: Full rendering
Right: Labeled element