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The halfway point is Brush Creek, Missouri. Some hotels in that general area are:
Days Inn Lebanon
Holiday Inn Express & Suites Lebanon
Hampton Inn Lebanon
Americas Best Value Inn
Super 8 Motel Lebanon
Best Western Wyota Inn
Holiday Inn Express Marshfield
Sleep Inn & Suites Lake of the Ozarks
Super 8 Seymour
All Star Inn St Robert
Super 8 St Robert Ft Leonard
Alliance Inn & Suites
Relax Inn St. Robert
Value Place St Robert
Ramada Inn Ft Wood
A good option would be Albuquerque, New Mexico which is about 26 miles from the exact midpoint.
The half way point would be Moriarty NM, on I-40. 85 miles east of Albuquerque NM.
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