Here's the list of the tracks I looked at, Carolina Dragway (houseofhook.com) in Jackson SC is the one I was thinking of:
1/8th mile concrete (1 Hour):
www.screvenmotorspeedway.com
https://maps.google.com/maps?saddr=savannah+ga&daddr=GA-21+N%2FSavannah+Hwy&hl=en&ll=32.389239,-81.298828&spn=0.967138,1.231842&sll=32.638941,-81.544046&sspn=0.060279,0.07699&geocode=FVWO6QEdxoMq-ylZBvJ4_HX7iDG8IGADUWcMTg%3BFX_d8QEdF90j-w&t=h&mra=dme&mrsp=1&sz=14&z=10
1/4 mile asphalt (2 hours 15 min):
www.houseofhook.com/
https://maps.google.com/maps?q=savannah+ga+to+302+dragstrip+rd+aiken+SC&saddr=savannah+ga&daddr=302+dragstrip+rd+aiken+SC&hl=en&ll=33.359316,-81.793942&spn=0.014947,0.019248&sll=33.510198,-81.656914&sspn=0.238739,0.307961&geocode=FVWO6QEdxoMq-ylZBvJ4_HX7iDG8IGADUWcMTg%3BFZEa_QEdeeEf-ylhwbMUQbf5iDGJiPwnlaIFdw&t=h&z=16
1/4 mile asphalt (3 hours):
www.dmpdragway.com
https://maps.google.com/maps?saddr=savannah+ga&daddr=Ronnie+Walker+Rd&hl=en&sll=31.423902,-82.720656&sspn=0.030542,0.038495&geocode=FVWO6QEdxoMq-ylZBvJ4_HX7iDG8IGADUWcMTg%3BFXl33wEdCscR-w&t=h&mra=dme&mrsp=1&sz=15&z=15