To make sure I'm giving you the most helpful info, can you elaborate a bit more on your question?
It sounds like you're trying to find any contacts in your audience that don't have name data populated so you can send a targeted email to them. If that's correct, I'm happy to let you know that this can be accomplished by using our segmenting tool. You'll be able to create a segment that searches for contacts whose first name and last name fields are empty. Once the segment is created and listing the contacts, you can send a mailing directly to that segment.
Let me know if you have any questions on this! If I misunderstood the process you are trying to run, feel free to point me in the right direction.