Lots of variables to consider...
First and foremost is what ship, and at what point in her life, do wish to model?
Pre-war USN ships were kept very clean, without the combat, life aboard a ship is basically maintenance and boredom. Pre-war ships were also light grey until mid-1941, so they were susceptible to oil stains and the like.
Wartime ships were predominately dark colors, so extreme weathering is a bit difficult to pull off realistically. Here's a color shot of Pennsylvania in drydock in 1944.
Obviously, modeling Arizona pre-war is your only real option, but you could convert the Arizona kit into Pennsy. Arizona was wearing a Measure 1 camo pattern when she was at Pearl, but she wasn't in that scheme for very long before her loss, so her paint wouldn't have been as weathered as some believe.
Jeff Herne