Hello! Thank you for this perspective 
Iâd recommend looking into the âShippingâ category on the app store and checking what apps provide âshipping rulesâ or âdelivery customizationsâ in specific. Some apps include SMART Shipping Rates & Rules, ShipX or ShipZip. Shopify is soon introducing market driven shipping with additional control of your markets, but that doesnât extend to zip codes as far as I know.
If you are on Shopify Plus (to anyone else possibly checking this thread in the future), the best and most simple technical approach would be to create a custom app with a delivery customization function that fetches the zip code/region/country and hides a method by name using that data, however that provides its challenges like needing to change the code to adjust rules, hence why apps are usually a better fit.
Sharing both in case someone prefers one way or another