One option is to protect the master password with a security LARP scheme that's so complex and unwieldy that no sane attacker will believe you when you tell the truth. Like, Shamir's secret sharing, but the fourth part can only be passed via a Ballet choreography. Also, the sixth Yubikey is biometric and will only work with a latex fake of the right pinky prepared by this exact recipe. The final part of the password is the statistical expected value of this slightly unfair die, obtained after 10 000 throws, to the third digit.

I suppose if you value your privacy over your well-being/existence you can perhaps resist giving up your password (not so with a fingerprint). Or maybe you could set up a "suicide pill" alternate password that wipes/bricks the machine when entered if you wanted to deprive your future self of the opportunity to relent as the torture escalates...

(Edit: I guess the latter is also doable via fingerprint if a different finger is used as the suicide pill, seems a bit risky for normal use though!)

If you're in the US than the cops can't force you to give up your password but they can force you to unlock your phone with your finger.

I think that's far more important.