Application from Taipei

Due to obvious reasons, I cannot make the application for any Chinese Visas, so I would looking at making the application personally through the Office in HK.

However, having looked at the HK website, they make no mention of this kind of entry permit, so I wondering if:

a - could I make an application for an S type in HK?
b - could I make an application for an S type either an agency in Taipei?
c - if the two above are not possible, could I make an application either an agency in the UK through the Post? (I am a UK based in Taipei, but I do still have an address in the UK.)

Thanks