If you're looking for a meeting place or a good stop around ½ or halfway between Summerville and Zionsville, you can try Knoxville, TN, which is about 5½ hours northwest of Summerville, or about 6½ hours southeast of Zionsville.
Other possible places to stop near the midpoint include Oak Ridge, Clinton, Shea, Montgomery, Saxton, and Jellico Creek.
About ¼ or a fourth of the way, you can stop at Spartanburg, SC. This is about 2½ hours northwest of Summerville.
About ⅓ or a third of the way, you can stop at Asheville, NC. This is about 3½ hours northwest of Summerville.
About ⅔ or two thirds of the way, you can stop at Lexington-Fayette, KY. This is about 8 hours northwest of Summerville, or almost 4 hours southeast of Zionsville.
About ¾ or three fourths of the way, you can stop at Jeffersonville, IN. This is a little over 9 hours northwest of Summerville, or about 2½ hours south of Zionsville.
If you drive straight through without stopping at all, the total distance is 727 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 11 hours, 49 minutes.