I designed some supporting brackets to sandwich the LCD Module to the PCB. Standard 0.1" female header pins were used on the PCB side, with the male header pins on the LCD side. This brings the PCB separation to 11.0 mm. With 1.6 mm PCB thickness on both sides, the resulting stack is 14.2 mm thick.

For the 93 x 70 mm LCDs:

I am quite impressed with the ITEAD SLA 3D printed parts (white parts in the pictures). There is a huge difference in quality between the SLA and the standard additive manufacturing (black ABS parts) prints.

Even though both prints used the same design files, the black brackets seemed to have shrunk and will need some filing to fit the PCBs and LCDs...