Screw Organizers

I have a couple of those plastic multi-drawer screw and small parts organizers.  Unfortunately, when you pick it up for moving, screws, nut, etc. often fall out the back because there is a bit of space between back frame and drawers.  I want one where I can tape the drawers in place when moving.  Does anyone know of one that is like this?  Livinbox is a Taiwanese made brand that SEEMS like it might be a tight enough fit. I have asked the question on Amazon.  Does anyone have experience.