I had a halfhearted attempt for the games event last weekend but with the possibility of helping a local school looming I thought the idea might be adaptable for that.
What I thought I would suggest was that they start with a basic box like module that holds the main parts such as the receiver, controller, motors, wheels, tyres, switch and batteries and then make slide on modules to produce the different robots.
Here is the basic module I have come up with based on Rory's controller.

Here is a lifter module based on flippant that just needs the servo plugging in and then sliding into the basic modules slot.
https://youtu.be/rSgCCodK44c
Eventually I am proposing to try this on a more competitive robot.
One thing while getting a bit carried away with the idea I thought I could have a spare basic module in case of breakdown or damage but then you are effectively changeing the whole robot.