I don't understand why you are bringing Georgia estimated tax payments into this.
As you said, any amount for which you are getting a credit on the state level cannot be deducted at the federal level. So when you did your federal and Georgia returns, did you see how much credit you received in Georgia then return to the charitable contribution section on the federal return and remove that amount? Of course, this may or may not update your Georgia numbers, so you need to take a look to see if your credit amount changed.
Even if this causes a change in the Georgia credit, you will find that you will have to go back and forth only 2 or 3 times before things settle down and stop changing.
What happens when you do this?
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