I voted 200. At that point, ppO2 becomes an issue on air so I won't go deeper due to OxTox risk.
That said, you asked a few contradicting questions.
You said minimum mandatory helium mix, well the mandatory helium mix for me is 200ft due to oxtox
You also asked for reasonable necessity, well that depends. Am I diving in a high flow cave at 110ft on a rebreather, or clear, no current, wall diving on open circuit?
On a CCR if available, I really see no justification for diving anything but 21/35 or 18/45 in the dil until you get to ppO2 limits for work of breathing as alluded to above.
In a cave, the need for helium may come early as I have been Narc'd in Ginnie, even on a scooter.
Clear, calm diving in the ocean gives me a lot more tolerance for narcosis so I'd accept going a bit deeper.
As far as a hard stop, that hard stop for me is 200ft when the ppO2 of air gets to be a problem but the odds of you seeing me go that deep are rare, and you won't see me condone it