Well blu-ray is 1080p/24hz but most LCD's that are capable of accepting a 24hz signal will convert it into some exact multiple such as 48Hz, 96Hz, 120Hz or 240Hz. So either of those should work fine.
From what I understand, a blu-ray player will send a signal to your display and ask for it's EDID. If the display reports back that is can accept a 24Hz signal then all is good. The blu-ray player will pass the native 1080p/24Hz signal to the display. Otherwise the blu-ray player will convert 1080p/24Hz into 1080p/60Hz which I do not want.