No, delete the Arizona Estimated Tax Payment you added to your Federal Return, as this was not an estimated payment to AZ, but a tax credit you're getting on your AZ return.
You can still claim Charitable Donations for AZ on your Federal Schedule A for the difference in the credit amount you got from AZ and the actual donation (if there is one). For example, if you made a 1K donation, and AZ gives you a credit for $200, you can claim $800 as a Federal charitable donation on Schedule A. If the entire donation gives an AZ credit, then you're correct, none is claimed on Schedule A.
However, if the credit you receive in AZ is 15% or less than your entire donation, you can claim the entire donation on your Schedule A.
@ConfusedinArizona
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