Update finally!
1) Croydon PEO, ILR(M) application
2) Appointment Monday 8am 14th January, attempted delivery Monday 21st January
3) Unsure what time, as no delivery note was left
4) I will be signing for it
5) Since we get home after the 6pm cutoff, there was not enough time to re-deliver to my office before Saturday. I opted to have it sent to a collection point in London for Friday. They said to bring my ID and the failed delivery letter (edit to clarify - they sent a failed delivery letter in the post which arrived today, two days after the attempted delivery).
I rang DX up this evening when we got home and saw the post, and got far enough through the automated system to know I wasn't going to get enough feedback to sort it out, so I stopped answering the prompts until the system put me through to an actual person. I have arranged to have the package sent to one of their London collection points on Friday, as I can't be at home for the rest of the week and need the BRP before Saturday.
I have no idea why a failed delivery card wasn't left, as this has caused an extra 2 days' delay and tons of extra stress, but in the end I will have the BRP before we fly out on Saturday morning.
