The fair place to meet is Chicago, IL — the city closest to the midpoint of Indianapolis and Omaha. From the farther side that’s about 9 hr 3 min of driving.
Recommended midpoint
Chicago, IL
From Indianapolis
3 hr 27 min
165 mi to Chicago
From Omaha
9 hr 3 min
431 mi to Chicago
Indianapolis has the shorter trip; the split is off by about 5 hr 36 min. The alternatives below can even it out. Indianapolis and Omaha are about 523 miles apart.
Indianapolis and Omaha are about 523 miles apart by road. Split the difference and you arrive near Chicago, the city closest to the halfway point between them. That puts roughly 3 hr 27 min of driving on the Indianapolis side and 9 hr 3 min on the Omaha side — the fairest single meeting point among the cities near the middle.
That's a half-day drive from each side, so Chicago suits an overnight or a weekend rather than a quick coffee — long enough to want a reason to stay, short enough to drive.
If Chicago doesn't have what you're after, Kansas City and Milwaukee are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Indianapolis and Omaha.
Chicago is the most populous city in the U.S. state of Illinois and in the Midwestern United States. Located on the western shore of Lake Michigan, it is the third-most populous city in the United States, with a population of 2.74 million at the 2020 census. Read more →
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 →
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.