Hey! I love the concept of this mod so much. I recently started using the ballisticfox update of the Beyond Home planet pack https://github.com/ballisticfox/BeyondHomePlanetMod. While I know what lagrange points are and how they work, I'm, admittedly, not familiar with how lagrange point calculations are made so I don't think I could figure out the Beyond Home system myself. Would you be willing to look into it? The core system has a binary star which might make things too complicated (or the fun kind of complicated) so you could likely just calculate it based on their Barycenter.
There's also the kcalbeloh planet addition pack which adds a black hole system which might be interesting to take a look at!