So, I think I've sorted out a basic approach.  I create the character in CC3, then export that character to iClone.  I generate animations in iClone, which I then save as .iMotion files.  I then export the character from CC3, adding the .iMotion files.
That's... basically working, more or less.  I think I need to use the RI supplied script to automate the import process, but at least the Motion animations are coming through.  I'm able to import the models into Unity, as well as the body animations.
I haven't figured out how to bring in the Expression motions into Unity - I'm using the Face Puppet to add some basic expressions to the characters that match the body motions.  Unfortunately, those Expressions do not seem to be coming through.
I tried using the Collect Clip to grab everything, but it only seems to be grabbing the Motion...?
Any ideas?