Here is the final outcome of the 3D printed model. This was not an easy process, and was also quite expensive. The model, I realize now is much too similar to the original plastic box in terms of shape and design. In total, including materials for preparation this model cost about $100 and about 6 hours of work. Once the model was printed, there was a process for curing it, which involved a toxic adhesive chemical and 24 hours. Then came sanding and drilling, and what still awaits is painting and finish.
The next version of this will be a more unique design (less box-y) and might feature the battery outside of the unit. Flickr set here.