It's about the time of year that PhD candidates are asking for letters of recommendations for teaching positions. This seems like a very good year for hiring, the latest edition of the Anthropology Newsletter is thick with postings. You should be looking there, as well as the Chronicle of Higher Education, your regional association newsletter (in my case, the Association for Asian Studies Newsletter), and online mailing lists (for example, H-Japan, the SOLGA mailing list, etc.).
Asking for letters of recommendation is as strategic and political as anything else in academic careers. Do you ask Professor-Big-Name who might only vaguely remember you from a seminar you took your first year, or do you ask Assistant Professor-Young-Turk who you've been working closely with ever since arriving at AnyU?