If you want to display estimated shipping date in customer's country view, select layout Country Delivery, then move to Country tab.

List countries
Click "Country Rule" to add new:

Please be noted that you can not add a new country for your shipment in the app. The list of available countries can be found and edited in Settings/Shipping section of your store.
Set up an estimated date for the chosen country, and click Save to complete.

You can edit a rule by clicking Edit icon, in where you will find more categories to adjust:
Add a courier if possible:

In case a country contains several provinces, regions or cities, you might want to apply custom shipping rule to different regions. Provinces subcategory allows you to pick region and customize shipping date:

You can also apply rules for products in Specific Products section:

How to calculate {date} & {date+1} in Estimated Shipping Date app
Estimated Date Layout
Zipcode Shipping Settings
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