After lots of trial an error, I think I have a design that works and will go together properly.  I only have a few of the parts cut right now because I keep running out of acrylic, but what I have is looking promising:

One thing I've discovered about the laser cutter is that the cuts are beveled, not perfectly vertical, so I absolutely have to glue them together even though i was hoping to get away with just press fitting them together.

Does anyone have that experience or is our laser cutter just out of whack?