You should at least start the process by end of June, maybe earlier as there could be delays due to summer holidays. The whole process generally only takes 2 or 3 weeks if you do exactly (and quickly) whats asked. You dan use your CdS or driving licence for id, or if you’re that concerned get your Maire to authenticate a copy. Old passport is sent LRAR and they will DHL your new one back. They’re also pretty good at letting you know how each stage of the process is progressing, but you probably wont be able to (easily) travel outside the schengen area without a passport.
You can request an emergency travel document, that can be collected from the nearest consulate, and it’s usually available within 2 days.
Not everybody in France accepts those for ID. My driving licence was refused at a hospital in Perigueux. They did treat and trust me to come straight back with the passport though when I told them it was in the car a km away. Pretty sure a CdS has been refused at some point too, but can’t remember where.
Allways send everything by International LRAR from France to outside Europe. You won’t get a signed receipt back from the recipient but at least you have proof its gone and can track it. Passports were taking about ten days from online to receiving signed at the front door via DHL.
The whole process was a success. It took just over two weeks to receive a new passport.
Could I ask when you sent it off please?
I’m in the process of renewing my UK passport and have been impressed so far. La Poste and Royal Mail got it to Hemel Hempstead in three days and then I expected to hear nothing from the Passport Office for a while, as their website says demand is high. But I had a text two days later, at just before 8pm UK time, to say they’ve received the old passport.
So far, I’m impressed.