Here is the full set of 6U drawers. I have also included a reduced filament hex model which is the one I have personally verified. It still fits with Walter's system, its just taller!

Unfortunately I primarily use ABS so experienced extreme warping even with glue and sticking the build-plate down with Kapton tape, so I would advise against using this material. I used the original handles, scaled in XY by 120% and it seemed to be a nice press fit, however I still bungled one of them.

I will continue to iterate on this design for a while; I have a few more adaptations of the shell and drawers if anyone is interested as well. 

Printing recommendations:

PLA or PETG
Back on the build-plate
0.16mm layers
15-20% cubic infill
Infill combination ON
Normal supports at 45deg

My print settings (Which I don't recommend):

eSun ABS+ White and Bambu Lab ASA Blue
0.16mm layers
20% cubic infill
Infil combination ON
Normal supports at 45deg
5mm brim; Object gap 0.1mm