Cool subject!

AWOL would have all this AT highpoint info, by the way.

But, beyond AWOL, in the case of GA and NJ, I would consider one little side trip each, Brasstown Bald is the highest point in Georgia, and is a short side trip from the AT. Same deal in NJ, "highpoint" is NJ's state highpoint, and is maybe a mile off the trail.

The Connecticut state highpoint is a bit off the AT, but the highest Mountain in CT is on the trail, "Bear Mountain". (the CT highpoint is a ridge on a mountain that actually peaks in Massachusettes, Mt. Frissel)

Woops, forgot about VA, that state highpoint for VA is 0.3 off the AT, Mt. Rodgers. Don't miss that one. I assume the AT highpoint in VA is at that trail junction, or maybe just a bit beyond, but definitely in Grayson SP.

You automatically go over the state HP in TN (clingman's dome), NH (Washington), MA (Greylock) and of course Maine (Katahdin).