If you're looking for a meeting place or a good stop around ½ or halfway between Jesup and Rincon, you can try Fleming, GA, which is almost an hour northeast of Jesup, or almost an hour south of Rincon.
About ¼ or a fourth of the way, you can stop at Aimar, GA. This is about 19 minutes northeast of Jesup.
About ⅓ or a third of the way, you can stop at Hinesville, GA. This is about half an hour northeast of Jesup.
About ¾ or three fourths of the way, you can stop at Pooler, GA. This is about 1 hour northeast of Jesup, or about 19 minutes south of Rincon.
If you drive straight through without stopping at all, the total distance is 74 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 1 hour, 27 minutes.