If you're looking for a meeting place or a good stop around ½ or halfway between Gray and Austin, you can try Knoxville, TN, which is a little over 15 hours southwest of Gray, or about 15½ hours northeast of Austin.
About ¼ or a fourth of the way, you can stop at Harrisburg, PA. This is about 7½ hours southwest of Gray.
About ⅓ or a third of the way, you can stop at Harrisonburg, VA. This is about 10 hours southwest of Gray.
About ⅔ or two thirds of the way, you can stop at Memphis, TN. This is a little over 21 hours southwest of Gray, or almost 10 hours northeast of Austin.
About ¾ or three fourths of the way, you can stop at Little Rock, AR. This is about 23 hours west of Gray, or almost 8 hours northeast of Austin.
If you drive straight through without stopping at all, the total distance is 2,075 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 30 hours, 52 minutes.