Well, my first thought would be to start with XF-50, the Field Blue, but, it's going to be a little pale/light--but, that mihgt not be so bad at, say, 1/700 for scale effect.
Add a bit of XF-63 German Grey and it'd darken nicely.
You could probably start with XF-17 Sea Blue for the decks, but it definitely needs grey added.
You want to be able to tell the horizontal surfaces from the vertical ones. It's a dark blue overall, but not the deep navy blue of the aircraft blue.
If you already have a good range of greys and blues, take a sheet of styrene and scribe some squares on it. Paint the squares and label them (fine point sharpie pen is your friend here).
Then, pour through as many photos as you can find and eyeball the effect you want. While you are online, see if you can find Buchannan photos, they ought to help out with minor Measure-22 details, like whether the gun barrels and the gunhouses were counter shaded (and getting that deck blue on the top only of a 5"38 barrel at 1/700 is a fascinating exercise).
The styrene "pallette" trick is one I have used for sorting out 4 or 5 different Olive Drabs or Panzer Greys, or having things like "blackgreen" or "sky" handy to pick out detail and the like.