The breathy/husky female voice type is not a reasonable target for a bass. To get a consistent range, you'll want to extent your falsetto as far down as possible. It is different from "head voice" in that the larynx basically has two antagonistic muscle groups for pitch control: one is stretching the vocal folds long for increasing pitch, the other tenses the material of the folds themselves.
The mechanisms for chest voice has the fold muscles primarily responsible, the falsetto relaxes those and just relies on longitudinal tension. There is no stable equilibrium in between. The normal "head" voice used by tenors is usually an extension of the chest voice configuration, but navigating the unstable equilibrium with a "mixed voice" smoothly blending into actual falsetto takes years of practice.
For a bass-based countertenor, it's usually easiest to work your way from the falsetto downwards. The low notes, once you get them in the falsetto configuration, are more of a raspy than husky sound quality. Huskiness basically is a sign of bad vocal closure, and with bass vocal folds, you can't expect reasonable volume. Microphones make a difference, of course, but they cannot do everything.
Think about finding a voice teacher who is willing to work with you and your range and possibilities.