I briefly considered a styrene model but ultimately rejected it due to the difficulties of tweaking and getting things both accurate and clean. Skeg did a very good job at getting his gun nice and smooth. A great build. There are a lot of subtle curves on this thing and those are always difficult to do in styrene. You usually have to make sacrifices and I wanted my LG to go as far as possible towards accuracy, barring having one actually machined. A few years ago I did a similar project in styrene from Firefly- addons to a 1911 from the movie . It turned out "ok". I've recently redone an entire kit for a fresh build, to be printed alongside the Lawgiver.
I just got a note saying my model was in production, so I assume that the geometry has passed their tests and is printable. Huuzah!
If you were dead set on using a lcd, you could always cut the slide of the glock tomake room. It will be hidden by the shell anyway... and it wouldn't kill the airsoft functionality either!