I, too, was going to make a similar suggestion as MikeBreeze.
Since we don't know exactly where in Texas that you are going, I'm going to assume that your Dad lives in very southern Texas.
Looking at my Atlas, you could go I-40 to Chattanooga and take the 81/75 south that appears to turn into the 59 south that takes you to Birmingham, AL, and runs into I-20. Looks like a straight shot and bypasses Atlanta altogether.
Safe travels,
MM.
Mr.Mark
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