I had an idea for a removable top and bottom L Bracket that was held in place with flush mount rare earth magnets.
I have some drawings and tests of the idea in my FLYNN's build thread.
The idea is basically to use L brackets made from bending tin. 1" along the one side, and ¾" along the front facing side.
Rabbit the top and bottom edge of the the marquee box and inset some magnets.

a bracket like these. however this is Aluminium and has a 1" rise and run. If it were done it would have to be simply fabricated.

here are the inset rare earth magnets. these were available in North America via Lee Valley Tools, but i'm sure you can get them other places. 4 on the bottom and 2 on the top should be more than enough to hold the light tin brackets in place.

here i was just testing imbedding the magnets. i used a spade bit, but a forester bit and ¾" wood would be best.

ultimately the plan was to use this to avoid seeing screws rather than being able to simply swap out my marquee plexi. Since i'm only using one marquee there is really no need for this on my build. and now that i'm outweighing seeing 3-4 screw heads (or using glue) from all the extra work this would be i've decided to ditch the idea and just attach it in a traditional manor.
Not sure if this will help, but i figure this way you could just have a box with the plexi marquees in it and a couple magnetic brackets.