

Dual US/NZ citizen residing in NZ wanting to apply for China visa as a tourist in London or Taipei
NZ/US dual citizen residing in New Zealand (NZ). As traveling to London (LHR) next week there isn't time to get a visa before leaving NZ. Want to visit Shenzhen (HK & Macau Sep 22 for 4-10 days) and I probably will book a flight to Hong Kong (rather than Shenzhen) as I believe it is possible to get a visa on arrival there.
Option 1
Question 1. Does London (Chinese Visa Application Service Center) allow visitors to UK to apply for a visa? I only see mention of people with UK work or study visa or residence permit listed on the visaforchina.cn website (nothing about visitors ).
Question 2. If allowed to apply, would I have time to get a visa? I arrive at LHR on Tu Aug 29 at 11:10 am and leave in meetings Sep 4 and leave LHR Tu Sep 5 at 12:15 pm (so would need to pick up my passports on F Sep 2). Is it possible to 1) submit the application on Sep 29th, 2) make an appointment for Sep 30th to drop off the application, and 3) pick up the passports on F Sep 2nd?
Option 2
Question 1. After London I will be in Taipei Sep 11-22 (and available to go to visa appointments Sep 11-16 and Sep 22 in the morning. Again can a person who is a visitor in Taiwan apply for a Chinese visa in Taiwan?
Question 2. And do I have enough time to do so \? Thank you for any advice.
Option 3
Question 1. Could I fly from Taipei to Shenzhen and get a visa on arrival? I would probably need multiple entry as I might need to go to Hong Kong/Macau.
Question 2. I'd also probably want multiple entry visas for Hong Kong/Macau as I don't know what my schedule will be, yet.
Thanks in advance for any advice.