Omaha and Pittsburgh are about 834 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 3 min of driving on the Omaha side and 8 hr 35 min on the Pittsburgh 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 Omaha and Pittsburgh to converge, splitting the travel instead of asking one side to cross the country.
If Chicago doesn't have what you're after, Indianapolis and Milwaukee are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Omaha and Pittsburgh.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.