The fair place to meet is Dallas-Fort Worth, TX — the city closest to the midpoint of Raleigh and Tucson. From the farther side that’s about 22 hr 8 min of driving.
Recommended midpoint
Dallas-Fort Worth, TX
From Raleigh
22 hr 8 min
1,056 mi to Dallas
From Tucson
17 hr 20 min
826 mi to Dallas
Tucson has the shorter trip; the split is off by about 4 hr 48 min. The alternatives below can even it out. Raleigh and Tucson are about 1,860 miles apart.
Raleigh and Tucson are about 1,860 miles apart by road. Split the difference and you arrive near Dallas, the city closest to the halfway point between them. That puts roughly 22 hr 8 min of driving on the Raleigh side and 17 hr 20 min on the Tucson 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. Dallas still makes a fair, central place for Raleigh and Tucson to converge, splitting the travel instead of asking one side to cross the country.
If Dallas doesn't have what you're after, Oklahoma City and Memphis are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Raleigh and Tucson.
Dallas is a city in the U.S. state of Texas. Located in the state's northern region, it is the ninth-most populous city in the United States and third-most populous city in Texas, with a population of 1.3 million at the 2020 census. Read more →
Raleigh is the capital city of the U.S. state of North Carolina. It is the second-most populous city in the state, tenth most populous city in the Southeast, the largest city in the Research Triangle area, and the 39th-most populous city in the U.S. Read more →
Tucson is the county seat of and the most populated city in Pima County, Arizona, United States. 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.