Wow - I can't believe how much effort you are putting into this. Thank you so much.
As for that long line along the bottom (in your rotated image), the second line from the bottom isn't used in anything interesting and can be deleted without changing the problem. Also those lines vary in height from the bottom substantially based on the parameters, so even if you could constrain them (which I can't seem to do as they would become over-constrained) it wouldn't work for my model. Perhaps I'm not understanding what constraint you are recommending? If you found a constraint that works, if it's not asking too much perhaps you could do a quick screen grab?
Having said that, I may have found a solution for now. I started studying more on the constraints, and noticed that two of my lines that are constrained in angle via "PrintableOverhangAngle" (45 degrees in your version) are receiving their constraints (tangent, coincidents and angle) all from mirroring another line. In your picture, it is the two top-most angled construction lines flying off to the left and right. I removed the mirror, and instead directly added the tangent and angle (in theory, exactly the same as the mirror) and now the error has gone away (at least for now).
This feels like a bug in Fusion to me, and not a "flipping" problem per-se. But you know far more than I...
Lastly - if you do have any hints on how to detect flipping, and hints (or links to videos/pages) on how to fix it, I'm all ears! I constantly struggle with that, as I often make large / complex highly parameter driven models to dynamically scale and flipping is my constant nightmare!
I really appreciate your help!
Chris