What about a cube-shaped screen, with hovering textures circling the open area of the bridge a ways,
to give the illusion of a large, curved viewing surface?
Attached are pictures of the Woglinde bridge from Xenosaga. As you can see in the first pic, the bridge is essentially just one big tube. Initially it seems to be one big open window, but a scene where a vessel with a similar cockpit is docked and undergoing repairs shows that it is a holographic projected image, just like a viewing screen.
Two pics of the Woglinde (all I could find on google), and my idea below.