Symbolism and Subliminal Messaging

I think I'm making my logo too complex and am over-thinking the design. I want to use a crane, a symbol of good fortune in Japan and an animal that denotes grace and comfort in the U.S., in the design as part of the logo. Here's some cranes:

If I can use that curved shape in some way, that would be ideal. A suggestion of a crane, abstract, instead of it being explicit.