First, I recommend contacting NI support at ni.com/ask and starting an incident report.
Second, I recommend either restoring your registry from backup, or wiping your system and starting over. I know it doesn't sound like fun, and it isn't, but it is probably the only way now you can guarantee a good clean registry. Alternatively, go through the registry again and make sure all National Instruments and LabVIEW entries are deleted.
In the future, and I make this recommendation to everyone, you should, as a safe practice, make a backup of your registry before you install anything, and also periodically. Archive these and label them with the list of programs installed, or with any new programs that have been installed.
The Windows registry is obsolete,
and complete hopeless when it comes to a stable system. There is no automated backup of the registry to my knowledge. The registry is the biggest source of problems with Windows, followed of course by DLLs (everyone has their own version, and noone's is alike, much less works right.) The registry can be backed up by using "Export" from the regedit program. Backups can be restored with the "Import" function in regedit of course.
Good luck.