I'm not sure if you need bigger bins but this is what I have for my ammo display. I'm just displaying single cartridges.
I used 1 inch thick rigid foam insulation sheet to make the slots. I cut the slots using a router with a ball end cutter. I used three different widths. I bought the frame / shadow box at hobby shop.
If you haven't already checked them office desk drawer organizers may work if you need bigger compartments.
Good luck on your search.