Our shop uses sheets
of all three materials, glass, acrylic and polycarbonate on a regular basis.
Given the use as a large front window of 36" x 36", glass is subject to damage as it breaks easily unless you use a custom laminated glass which can be quite a few dollars. Even with laminated safety
glass, I would not feel safe for two reasons, one has to do with the constant impacts that the glass goes through. The other is that today thieves are in every nook and corner. Short story, glass breaks to easy.
The same with Acrylic. In our shop we generalize the strength factor of acrylic as being seven times stronger than ordinary plate glass. With the impact problems, the material is more liable to crack at the fasteners unless installed by someone who is knowledgeable about the property of acrylic.
So that leaves polycarbonate. Its almost bulletproof and by far a more superior material, but it is also flexible, ( which can be unnerving when you see a large sheet flexing and bowing under severe impact.) Poly is also not so UV tolerant as it will cloud and turn yellow after a few years if not treated.
If you go the poly route
, go to a plastic supply shop. You will get a much better price
and many shops will cut and finish the work for you for a minimal fee.(
If you take a piece of glass, a piece of plexi and a piece of poly and use a ball peen hammer on them, you gonna have a tired arm before the poly goes.....