Forgot to mention my thanks to Eric for all the help with the Bianchi. I took the frame over to his home shop to try and get the supposedly adjustable (not at all, actually) cup out of the bottom bracket. We banged on it with hammers and chisels, hung on it with wrenches, and attempted to cut through it - all with no progress. He then had the brilliant idea of using a bench vise to clamp down on what little area was available for a purchase, then both of us pulled and pushed on the frame. It worked! The cup finally came out and the frame (and fork) are now ready for sandblasting and painting. The color is yet to be determined.
If we can come close to the bike pictured below, I think we'll be very happy.