Aligning the edges of mesh strips to make flaps

What you want is another level of what you seem to imagine. All these type of structures are done using some special code. I have done some of them but I don’t (no more) disseminate this. But if you want to stick to paper or some light material you can use Ivy that have some very nice features.
https://www.food4rhino.com/app/ivy

For more complex work I think it is better you begin to make some Library using C#, Python or VB in order to control all that is needed to control the size of the flaps, the fabrication (size limit), the rivet holes, the bending radius.
See the exemple of what I did and the definition (with some Library behind)

Good luck