Hey P,
i see you are almost out the door so I am going to share what I know. I am an AMEX plat guy and I had to request a PP card for PP lounges. Amex has additional lounges where I use the actual Amex card for entry. Have you checked with Chase to see if you can get expedited PP processing? If you can get your PP account info over the phone, maybe you can load up and use the app for access.
hopefull a CSR expert pops on and has a better answer. Good luck, either way!