I agree with what you've heard about the biases here towards Asian English speakers vs White English speakers. My boyfriend is a Caucasian who moved here from the US with a new teaching cert but no experience, and he started getting jobs right away. Although that doesn't mean it's impossible for you to find good work!
A lot of after-school studios that I know of are started due to a desire to teach interesting things beyond the limited local curriculum (I'm not referring to super-competitive tuition centres). For jobs, you could try The Open Classroom or Smarticle, both are English-focused studios where I've seen Asian teachers.
I also have a friend who's urgently looking for multi-lingual staff, he runs a very cool retail shop in Central. If you have interest in exploring, send me a private msg.