Boise and Miami are about 2,362 miles apart by road. Split the difference and you arrive near Oklahoma City, the city closest to the halfway point between them. That puts roughly 23 hr 54 min of driving on the Boise side and 25 hr 43 min on the Miami 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. Oklahoma City still makes a fair, central place for Boise and Miami to converge, splitting the travel instead of asking one side to cross the country.
If Oklahoma City doesn't have what you're after, Dallas and Austin are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Boise and Miami.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.