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My priority in your situation would be to avoid NYC and the rest of the congested I-95 corridor. That means I'd work up to I-84 in Connecticut (probably via CA-9/I-91/I-691) take that to Scanton, and then head south on I-81 through Virginia. Take I-77 onto Columbia, SC, and then I-20 into Augusta.

You could actually do this trip in 2 full days on the road, 8 to 10 hours on the road each day. The halfway point would be about Winchester, Virginia.