Have you made your Users/<yourname>/Library folder visible? If not check here
and then check for the SING files. It looks like that could be the problem.
First, if you migrated your programs, uninstall ID and reinstall. Adobe apps don't migrate well. Second, that crash is, indeed, SING. The files and folders you need to find are hidden on Lion and later, so that's probably why you didn't see them. see http://helpx.adobe.com/x-productkb/global/access-hidden-user-library-files.html
Thanks! The uninstall/reinstall worked.
I used Migration Assistant when I got my new MacBook a few months ago, and had heard that Adobe could have problems with it, but assumed it was fine because I had no issues with Photoshop. First time I've needed InDesign at home in months, and now I discover a problem! LOL