So, we called Hexcel, and their carbon fiber-wrapped panel was $800 for a 4'x8' panel, plus shipping.
There is a local aluminum panel maker, which is willing to sell it to us as a "custom order" with no shopping. Since it's wrapped in aluminum, rather than carbon fiber, it's much cheaper - about $240 for a 4'x8' panel.
They had all sorts of honeycomb and custom combos. One of the neater ones was 1/4" balsa wood core, skinned with aluminum. Very strong and (relatively) lightweight.
Looks like we'll be going with a 1" core, skinned with .040 aluminum. They can also embed aluminum in the edges, since that's the weak spot.
Anyway, we'll post pics when done, but the decision is getting clearer. For anyone else looking at a similar project, I recommend
http://www.pacificpanels.com
Peter, the president, was puzzled by two random yo-ho's wandering into the factory, but he was very nice and ended up spending about 30 minutes with us, showing us materials and various fabrications...
Sandi