I have seen some PE brass sheets, but I suspect these are even more expensive than aluminum.
I am experimenting with one of those CNC vinyl cutting machines (I have an old model Cricut machine I bought at a closeout sale when a new model came out). Micro Mark now has one that looks better than what I bought, and I am sorry I bought the one I did, I wish now I had waited and bought the Micro Mark one.
I had originally bought it to mask painting masks, for camouflage and logos. Then, I found it could be used to make masks for doing photo etching, and then that the machines will cut through thin styrene sheets. I am still learning to use the machine, and how to make the drawings properly. I am using 2D CAD to make them, but there are some tricks for files to be used for these vinyl cutters.
For a project like yours, I think one of these machines would be great. A simple pattern could be made using the array tool. Once you have the file, upload it to the vinyl cutter, put the vinyl sheets in, and let the machine do the work.
The limiting problem may be the scale you want, and how tiny you need the cutout areas. I am running tests to determine the minimum feature size I need, which seems to depend on how good my CAD drawings are.