I think that's what I just said, albeit in another way, my friend
lol
Anyway, yeah... I think applying layered styrene over the card stock model should be sufficient, don't you? 110-lb card stock would be sturdy enough to carry the added weight of the styrene, so long as the proper adhesive agent was used to keep it all together.
Granted, there probably wouldn't be
too much to add in terms of surface details (ie. "greeblies"), but I would plan on putting the plate detailing on the hull at the very least. That alone would add greatly to the overall appearance of it. Even have a technique in mind for applying slightly etched panel lines in the hull, so it should work.