Thanks for your question!
If you're comfortable doing so, would you be able to share a screenshot of your shipping settings? Specifically showing two different shipping zones with different shipping rates (and services) selected. Bear in mind that after you select Add rate > Use carrier or app to calculate rates, you'll want to choose any and all Services that you'd like to make available for that specific shipping zone.
Once I have a better sense of the settings you're working with, I can visit your checkout to confirm whether or not your shipping rates are appearing as we'd expect them to. To do so, can you please also:
Thanks so much!