Where is the Transfer Case Control Module located?

I would check the fuses #'s 49, 43, 70 and 42 in the fuse panel under the hood with the ignition on for power.

This guide will help:

https://www.2carpros.com/articles/how-to-check-a-car-fuse

Here are the fuse locations and I have included the transfer case wiring diagrams so you can see how the system works and the transfer case control module as you have requested. Check out the images (below). Please let us know what happens.