My head hurts
Seriously though, that's a great idea, I hope you get some decent interest.
Math does my head in so I really liked what you said with hair split, figure 8 etc.
The Astronomy 2018 book has a section for double stars also, I think each month.
For the more experienced observer, here's a challenge, if I may throw one your way?
Sirrius in Canis Major is good viewing at the moment. Split its white dwarf companion. This is easier to do in the evening before the sky gets too dark as Sirrius won't appear so bright, overpowering the dim dwarf. I've been successful at getting it using 120x mag (10mm ep) with a 10" scope.