Buffalo and Omaha are about 880 miles apart by road. Split the difference and you arrive near Chicago, the city closest to the halfway point between them. That puts roughly 9 hr 28 min of driving on the Buffalo side and 9 hr 3 min on the Omaha side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. Chicago still makes a fair, central place for Buffalo and Omaha to converge, splitting the travel instead of asking one side to cross the country.
If Chicago doesn't have what you're after, Milwaukee and Indianapolis are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Buffalo and Omaha.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.