Off-Cycle Internships in North Asia (Beijing)

Question is how to approach investment banks in Asia RE: off-cycle internships, and if there is pushback (not counting Japan) in cold-calling or mailing resumes/pitches to their offices.

I'm looking at HLHZ, Lazard, boutiques, and bulge brackets (not necessarily IB/coverage roles).

I'd like some tips on how to directly approach people at the firm while I network on the side, and if fellow WSO-ers know of representative offices here that offer a great learning experience.

Thanks for the advice!

P.S. I will respond to every PM I received during my absence.

Background: MCL grades but non-target, state. High SAT scores, 3 internships at BlackRock, just finished internship at A4 ad agency--consulting work (Think Ogilvy & Mather, Edelman, JWT).

Bought a one-way to Beijing, China. Made the tactical decision to get some brand-name experience, because nothing was happening the US.

I know what people say about PWM or unpaid finance internships, but these 2 years taught me how to really, effectively network (and thanks to all you guys for the great advice) as long as I am in the door. Being a non-target, this is also the most realistic path for someone from a non hard science major.