If you're looking for a meeting place or a good stop around ½ or halfway between Finneytown and Alliance, you can try Dublin, OH, which is about 2 hours northeast of Finneytown, or about 2 hours southwest of Alliance.
About ¼ or a fourth of the way, you can stop at Bloomington, OH. This is almost an hour northeast of Finneytown.
About ⅓ or a third of the way, you can stop at Columbus, OH. This is about 1½ hours northeast of Finneytown.
About ⅔ or two thirds of the way, you can stop at Mansfield, OH. This is about 2½ hours northeast of Finneytown, or about 1½ hours west of Alliance.
About ¾ or three fourths of the way, you can stop at Wooster, OH. This is about 3 hours northeast of Finneytown, or almost an hour west of Alliance.
If you drive straight through without stopping at all, the total distance is 251 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 3 hours, 58 minutes.