To some degree, screening methods used by K-girl agencies/bookers flies in the face of conventional methods used elsewhere in the hobby, but what they do works well for them.  K girls are very good -- beautiful, consistent performance, and a attitude of pleasing the client.  That is why they are very busy, too.  On a typical day, a booker has barely enough time to respond to texts from regular, known clients, let alone track down your references.  Often that leads to your not getting a response.  In the time pressure of answering dozens of texts, it is far easier for them to accept known clients; hence, the "no new clients" message.  However, with a plan and patience and persistence without making a pest of yourself or showing impatience, you still have a chance.

Having 10 white listings, 5 P411 OKs, and 6 good non-Asian references won't help you.  That's because the bookers know and trust others in the k-girl community above all those others.  The bookers know the other bookers -- all over the country -- so build up your resume of K-girl appointments.  Sky Eden is a start.  I'd suggest Top-Luminous next.  Hotnhotter is very specific as to which references they accept -- mostly just Nova providers.  As long as you act like a gentleman, don't push the provider's envelope, and show up clean and on time, you will eventually build up some cred with the bookers.  Keep trying all of the K agencies, not just Iluvhot, and eventually you may have some success.  The bottom line is that there is no silver bullet or secret handshake, just patience and perseverance.

Good luck to you.