For 3.75 and 6 inch figures, the Carbon Freezing Chamber.
The 3.75 version is compatible with the TVC Hasbro playset.
Print the orange parts in a translucent material (or use plastic sheets or something similar) to light from below/behind.
For the overhang: The inset cross-shaped section on the top is sized for a 1x3 to act as an anchor point to attach to that supports the weight of the ceiling from above. There are screw holes made into the ceiling to attach the overhang to the board in case you would prefer that to glue or other means of attaching it.
The pipes that run up and connect to the sides are made to fit to the previously posted Satellite Platforms, but likely won't be enough to support the weight long term.
Also, you can find a separate download for the Control Panels here: https://www.cgtrader.com/3d-print-models/games-toys/toys/star-wars-carbon-freeze-chamber-control-panel-for-action-figures
The parts folders contain images/diagrams to help with assembly, but if you have any trouble, give me a yell at charveys3d@gmail.com.