Wow, this thread has been going a long time! I enjoyed reading through all the ways folks came up with their names but didn't see anyone with an experience quite like mine, so I'm going to jump on the bandwagon and share my story.
My parents didn't know my biological sex until I was born, and they picked out a gender-neutral, common name without reference to their culture for if I'd had boy parts and a feminine, uncommon name with a strong cultural link for if I'd had girl parts. When I came out to my mom, she said she should have given me the boy name; my parents didn't know it was gender-neutral at the time, and they had no idea what a surprise my gender would be, nor did they expect me to grow to reject their culture. I'm likely to use this name because it's the one I always should have had, but it might just be a middle name because I ended up growing attached to having an unusual name, and I feel like choosing a name that's ethnically inconsistent with my heritage would be disingenuous to my personal struggle with it. For now, I'm primarily going by a masculinization of one of my potential girl names that preserves the cultural implication and uniqueness of my given name.