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)
Render Elements panel
Render Elements rollout, click Add. Choose the mr Shader Element item from the list. Your Shader 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 Shader element containing only the Noise inside the Checker. The element renders the entire Checker map even though only part of it is used by the Gradient map.

Left: Full rendering
Right: Shader element