You should try applying online as well. xxtoyxx is right about being persistent I guess. I got mine through a headhunter/online resume and was quite lucky coz I didn't really expect to be based in sg. First time's the charm hehe.
I think you should be upfront about not knowing any other Asian language (if ever). When I was asked about other languages I told the interviewer that I didn't know any but I beefed up my other qualities and experience. When I was interviewed by the Director, she wasn't bothered by it either. Personally, i think that sg is a global city and English is fast becoming the language medium for business. In my previous job I used to deal with agencies and event organizers in sg and even their sr. account manager had english like this: "I try to speak to my boss again for your case. And also, I say that you will be look forward to working with us in the near future. She have agree as I worry as well." - Yes, I read her email three times before I really understood what she was saying. In this case, I think you'd do kickass work for global clients. Yun nga lang, avoid the asiapac accounts hehe.
When it comes to being based in the Philippines, I think you should be upfront about that as well. So that way, they would also include your yearly travel package (sg-ph-sg) or maybe even a reloc fee or housing allowance. If you're against sg applicants they'd be upfront about not having reloc or housing allowance but they would usually include the travel package and reimburse your first flight there. Basta, know your value and don't just give in if you think the package isn't really worth it. Remember, Singapore is the most expensive asian city. Cost of living is pretty high. Pero ok talaga taxes