Well, I unfroze my frozen apps, backed up root with the latest Rootkeeper, and then unrooted. The OTA was waiting for me immediately, so I downloaded it and installed it without troubles. Yay!
Rootkeeper would not let me restore my backed up root! Booo!
However, Matt's 1.7 Utility restored my root with ICS without difficulties! Yay again!
Rootkeeper worked for the various Gingerbread updates Verizon's OTA sent my way, but it failed with ICS. It wound up not really being a hassle anyway.