Hi! I can use table rates to define shipping costs for each country / state / zip. I would like to have two options though, an economy and an overnight service. That would require two table rates, since both change depending on country and region. How would you accomplish that?
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Could you check if this information is useful enough?
I'm afraid it does not say how to handle multiple table rates.
If you want more advanced features maybe you can try this well known and tested module: http://webshopapps.com/row/magento-2-extensions/wsa-standalone/matrixrate-shipping-extension.html
You'll find it on GutHub too, to isntall through Composer: https://github.com/webshopapps/module-matrixrate
It will allow you to create more advanced rules and table rates.