If you're painting her post WW2, you'll need to use good old Haze Gray, not the purple blue tinted one, but rather, the neutral 1944-45 version. Her appearance didn't change much from 1945 until her 1950 reactivation for Korea, her 20mm armaments were reduced, and those that were retained were switched from singles to twin mounts.
Her radar suite changed as well...but structurally, nothing else changed until 1950, then she lost her cats and aircraft.
Dulin and Garzke's US Battleships book, Freidman's Illustrated Design History, and Sumerall's Iowa Class Battleships are excellent references.
Regards,
Jeff Herne
Modelwarships.com