I've been following this thread for the last 3 weeks as it seems to be the most helpful place online and I thought that I'd give you an update.
We travel on 19 July and I applied for DD renewal by check & send on 13 June (just after all the news broke about the delays so knew the system was going to be even worse at that time). I did not get a text from the Passport Office until 23 June saying that it had been received! That's when I started to get concerned as it had taken 10 days just to get that far. I waited until 4 July (exactly 3 weeks after the Post Office got the application and called the Passport helpline. They said that it was awaiting examination at Peterborough and could be fast-tracked a week before travel - told to wait until then.
I then emailed both Paul Pugh's office and my MP with copy of Post Office receipt and airline receipt showing travel dates. 10 minutes later I got an email back from MP's assistant saying that she had rung the Passport Office, it was still awaiting examination and that she would apply for fast-track on my behalf a week before travel. She was very confident that if she did this that there would be no problem. I have yet to hear back from Paul Pugh's office!
I called Passport Office yesterday to see if there was any progress (there wasn't) and told to call back Saturday to request fast-track. The guy was exceedingly helpful, knew what he was talking about and very reassuring in that we would get it on time. Very similar to the first time I called - that lady then was exactly the same.
I have just received text saying that it's gone for printing and should get it in 2 days - which is 3 weeks after Passport Office received it, although took an additional 10 days through check & send.
I can almost relax - it can't take over a week to get to me - can it!!!