Thanks for the suggestions... the kit does come with LED lighting but only for the 1st deck upwards... not the lower decks below. It has been suggested to add supplemental light in the hull but also to paint the inside white instead of black to make it illuminate more?I have a possible suggestion, I've never built that model so this could be wrong but it would be the time to figure it out.
From my train modeling experience. If you're going to light it. Which I think would look really cool, You probably need to paint the inside / underside of everything flat black. Polystyrene is somewhat translucent and the sides will glow if they aren't coated on the inside. This is a problem with buildings in the train world. The paint on the outside isn't typically enough to keep it from glowing, particularly if you use bright lights so it can be seen in the day time.
You'll also need to pay particular attention to making sure the seams are tight so you don't have light leaks at the seams, they will really jump out at the viewer. That can be handled by coating the seam on the back if you can get to it with some type of caulking, or putty and painting outside after assembly.
That's a really cool model, I'm really a plastic guy and after just a few months doing wood kind of miss the plastic.