If you're looking for a meeting place or a good stop around ½ or halfway between Akron and Buffalo, you can try Erie, PA, which is almost 2 hours northeast of Akron, or about 1½ hours southwest of Buffalo.
About ¼ or a fourth of the way, you can stop at Mentor, OH. This is almost an hour north of Akron.
About ⅓ or a third of the way, you can stop at Ashtabula, OH. This is about 1 hour northeast of Akron.
About ⅔ or two thirds of the way, you can stop at Findley Lake, NY. This is about 2 hours northeast of Akron, or a little over 1 hour southwest of Buffalo.
About ¾ or three fourths of the way, you can stop at Dunkirk, NY. This is about 2½ hours northeast of Akron, or almost an hour southwest of Buffalo.
If you drive straight through without stopping at all, the total distance is 217 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, 22 minutes.