This is how I did it.
I started the process of getting my CNI here, Obviously you know the date of the wedding. Book a appointment at the british embassy in Manila via e-mail. Always leave a couple of days spare in case anything goes wrong. In my case there was a typhoon on the day of our appointment and it was closed. (Had to go back the next day).. The best advice I can give is leave plenty of time anything can happen there. Good luck.