The proper label for the culture that the book hopes to build must satisfy three criteria.
First, culture must be the core of its very definition.
Second, it should include key elements of race (i.e., bloodlines) and ethnicity, but not constrained by countries or geographic locations.
Finally, it must be broad and inclusive, with the potential to encompass all those with the same heritage.
The obvious candidate for such a label is Chinese. The second and much less well-known candidate is Hua. Unfortunately, neither of these two labels completely satisfies the desired criteria.