Alon, re the question you posed just above, I think that the
Coincident Statement Phono Preamp, with the apparently optional line-level input, is one to consider. I have no experience with it, but I have seen its sonics praised highly by other members.
It meets all of the requirements you specified in your post with the exception that it does not have a fixed output. Obviously, though, you could determine a setting of its volume controls that would be optimal for use with your headphone amp, perhaps even the max setting that would essentially remove its volume controls from the signal path. It does provide two sets of output jacks, btw.
There is no remote, though, and the separate dual mono volume controls may or may not be to your liking.
Its 66 db overall gain seems to me to be a good match for your 0.4 mv cartridge and the relatively high 36 db gain of your amplifier.
Good luck on your quest!
-- Al