The fair place to meet is Indianapolis, IN — the city closest to the midpoint of New York and Omaha. From the farther side that’s about 13 hr 30 min of driving.
Recommended midpoint
Indianapolis, IN
From New York
13 hr 30 min
644 mi to Indianapolis
From Omaha
10 hr 59 min
523 mi to Indianapolis
Omaha has the shorter trip; the split is off by about 2 hr 31 min. The alternatives below can even it out. New York and Omaha are about 1,141 miles apart.
New York and Omaha are about 1,141 miles apart by road. Split the difference and you arrive near Indianapolis, the city closest to the halfway point between them. That puts roughly 13 hr 30 min of driving on the New York side and 10 hr 59 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. Indianapolis still makes a fair, central place for New York and Omaha to converge, splitting the travel instead of asking one side to cross the country.
If Indianapolis doesn't have what you're after, Columbus and Cincinnati are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between New York and Omaha.
Indianapolis, colloquially known as Indy, is the capital and most populous city of the U.S. state of Indiana and the county seat of Marion County. Indianapolis is situated in the state's central till plain region along the west fork of the White River. Read more →
New York, often called New York City (NYC), is the most populous city in the United States. It is located at the southern tip of New York State on New York Harbor, one of the world's largest natural harbors. Read more →
Omaha is the most populous city in the U.S. state of Nebraska. It is located in the Midwestern United States along the Missouri River, about 10 mi (15 km) north of the mouth of the Platte River. Read more →
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.
Estimates use straight-line distance and typical road speeds; real drive times vary with route and traffic.