Here is my initial logo idea for Flat Bellys. The wordmark on its own (without the bird icon) still reflects the albatross with the outer abstract wing elements (Entry #10). Otherwise, if you are wanting a more literal/direct approach, the other version shows it with the bird icon.
Both the bird or the wordmark could be used on their own, or together (as shown in Entry #9). So you essentially have 3 different ways to use the design.
I Look forward to hearing what you think. I will see if I can come up with any other ideas in the meantime. Thanks.