the only one I know of is on the ocaloosa county line, about mile marker 46 on I-10. probably around 40 miles north, northeast from destin. it's called emerald coast dragway. dave.
I lived in Ft Walton Beach, which is the next town to the west of Destin, for a few years. You have to drive quite a ways to get to the track - and when you find one they are all 1/8th mile