I'm not very experienced with Bronica backs but am wondering if the backs can be opened (like for loading film) and still be mounted to the camera. Some backs use a small window to see the markings on the film before you close the whole thing so maybe you could light this things from the inside like that...
Other way would be to go to an electronics store and get a flat battery holder (like the large watch battery on your computer's motherboard) and a simple white LED. Just solder them together (the diode is polarized so it it doesn't work one way, just flip it around) and put them inside an empty film holder before closing it... That way, you could see if light is leaking to the outside and from were.
Or, if you don't want to solder anything, there's probably some toy at the dollar store which you could break apart to get the same result...