In my experience, when you're attempting to draw something poorly or in a juvenile way on purpose, you have to toe a careful line to avoid it looking too deliberate, so I collected a bunch of kids' drawings as visual references (bottom left). Initially I was going to draw all the plans and schematics digitally, and my first attempt was full colour, using an amazing photoshop marker brush (bottom right). I really liked the effect where the brushstrokes overlap.
Eventually it was decided that the drawings should be black marker only, and that the action in the scene would be flipping sheets on a pad of paper sitting on an easel, with additional drawings scattered around the room and pinned to the walls. I obtained an oversized pad of newprint and drew all the main plans by hand with a sharpie, though it took a few tries to get them exactly how the production designer envisioned. Costumes kindly provided me with photos and sketches of the superhero looks as a reference, and while the lever mechanism was still in the process of being built by the Set Dec team, I could look at the different components.
Afterwards, I used photos of the drawings to trace them digitally and create reproductions that could be scaled up or down and reprinted as needed.