A simple "The order will take from # to # days/weeks/months to be shipped" will suffice.
No one can give you a precise answer like that. Here is my best guess based on the past few years experience with buying (and subscribing) to things from Paizo.
A previous Humble Bundle for PF1 also unexpectedly sold out all physical copies of the Core Rulebook. In that instance, if you didn't receive a shipping notice before the sell-out was announced, you waited for several months while Paizo placed a new order for more rulebooks from their printing company in China. IIRC, it was 4 months or more before they started shipping Core Rulebooks again.
Given the current supply chain problems that everyone is having getting products shipped from China, I would expect at least that long, if not 6 months, before Paizo even has more product in their warehouse and can begin shipping again.
Be pleasantly surprised if it takes less time.
How to communicate with Paizo Customer Service.
It's a mess. Everyone agrees, including Paizo staff. You have two options
1) Send an email to Customer Service with the details of the changes you want to make in your order. (shipping address, cancelling a subscription, sidecart items that didn't get added to your subscription order, etc).
You can track where staff are in the email backlog by watching this thread in the Customer Service Forum Customer Service Status Updates
Sending more emails will not get your issue solved any faster, and wastes time for staff to review your multiple emails, and be sure that everyone working on them coordinates their responses. You really want a single person dealing with a single issue, not 2 or 3.
2) Post a new thread in the Customer Service Forum
Don't include any personally identifying information.
Do include your Order Number
Don't add a "me too" to anyone else's thread.
Don't bump your own thread.
Customer Service staff work through forum posts in reverse order that they show up on the page.
Bumping your own thread only puts you at the back of the line again.
Bumping someone else's thread is amazingly rude, since you put *them* at the back of the line again.
You can see by looking at the most recently posted staff responses where they are in the queue.
Not much solace, but that's the current reality.
Posting vituperative comments about staff does nothing but make these boards a toxic place for everyone. And it takes away staff time from working on orders, because the same staff that do that also have to do forum moderation. The time they spend closing and removing posts is time they can't spend solving customer problems.
I believe they said they are going to start shipping most of the humble bundle Core Rulebooks this week or next week. Some of them will have to be shipped when the new shipment comes in sometime in October.
Has anyone had an update on this? I am old school and getting the book would speed up several things I am building over the PDF
They did bring on more customer service representatives, or at least one. One of the problems might be is this thread isn't in the customer service section, so it's easier to miss and the new guy might not know to check elsewhere for stray threads such as this.
I've flagged it as needing to be moved, so hopefully that will bring a response.
Be patient, it's 2020 after all, for all we know the cargo ship was swallowed into the Bermuda Triangle.