I would say that I like the 5711 most of the three. Reason being that it is closest to the 3700 and also I like the simplicity of the dial. I would also add that the Tiffany would be a major positive for me on that watch.
Having said that, sometimes one must put instinct back into the cupboard. More and more people that I talk to who actually own both references tell me that the 5712 is a lot more interesting and a more desirable watch to wear. Having been (partially) down the trial route with the Nautilus, I think I am inclined to the idea that whilst the 5711 has a lot of initial aestehtic appeal, my guess is that after a while the 5712 retains its interest for the wearer whereas the 5711 may lose some of that initial buzz.
Blue v White? A taste issue purely for me.....blue.
It is an interesting debate over these watches and it is good to hear someone who owns both air their thoughts.
Best to you
Joe