In their statement, the youngest daughter always lied, middle was crazy, and eldest tells the truth. It can easily be converted to this scenario.
The solution is to ask A “Is B younger than C?”
Which of course is the exact same question as yours, but does not rely on the sisters knowing which category each falls into.
You don’t need an answer from the crazy daughter at all, if you never choose the daughter that you ask a question to.
You only have to get a meaningful answer from both the liar and truth teller.
But you are right, I’m pretty sure it is impossible without some extra information.