Welcome to the asylum.
First of all, US Navy ship colors were not gray. The Navy used a system which was based on a purple/blue scheme.
The Indianapolis was wearing what was called Measure 22 when lost. This called for Haze Gray over Navy Blue. The decks were Deck Blue. Haze Gray was a light lavender blue gray. Navy Blue was not the deep dark color you may think of for Navy aircraft of the time. It was a deep Blue/Gray. Deck Blue was similar, with perhaps a touch of blue/green and not as gray.
See the shipcamouflage website http://www.shipcamouflage.com/
It will give you a lot of good information on ship camouflage. Be sure to read Alan Raven's excellent monograph on the development of camouflage. There will be a test on it later http://www.shipcamouflage.com/development_of_naval_camouflage.htm
Ship models can be as simple or complicated as you wish. Photoetched details; rails, radar, guns, etc. are available for you to trick out the model as you wish.