According to Snyder and Short, she was M22 in 1943 and M31a/8B in 1944. I'm not that familiar with her history so I couldn't say when she was repainted.
http://www.shipcamouflage.com/usn_bb.htm
M22 would have 20-B Deck Blue. M31a/8B is a camouflage pattern, the decks would be 20-B Deck Blue and 5-0 Ocean Gray, although this diagram just notes 20-B. Maybe the upper horizontal surfaces are 5-0?
http://www.shipcamouflage.com/DesignSheets/M31A_8B_BB-34.jpg
As far as paints, try Testors. I stick with the former WEM Colourcoats as they are spot on. I'm not too confident with trying to match to Tamiya.