Capitalization of job title

Would you capitalize the job title in the following sentence?

I am writing this letter in regard to Joe Brown who is applying for the director of teaching and learning position in the XYZ School District.

The Chicago Manual of Style says not to capitalize a title when it appears alone like that. Nor should you cap it when it appears in apposition, such as (if your candidate gets the job),

Joe Brown, director of teaching and learning

You cap formal titles when they appear before someone's name,

Director Joe Brown

though not every title is meant to be used in that way... for instance, if you were talking about Steven Spielberg, in most contexts you would say

director Steven Spielberg

because in most contexts you wouldn't be ascribing a formal title to him, but merely describing what he does.