Finalized the supporting structure design and got it laser cut from 0.22" acrylic. Many thanks to the TI Innovation Lab at UCF for cutting this.

Fitting the screen onto the face plate, it was immediately obvious I made an error. It seems that when I did a smart dimension in SolidWorks, I set the vertical dimension of the LCD screws as edge to edge, when it should have been center to center. Oops. Thanks again to the TI Lab for re-cutting a slot to make it work.