The calculated distance (air line) between Nāḩiyat ash Shināfīyah and Karbala is approximately 80 miles respectively 129 kilometers.
By car or train, the actual journey to Karbala is certainly longer, as only the direct route (as the crow flies) between Nāḩiyat ash Shināfīyah and Karbala has been calculated here.
Air line (approximately)
129 kilometers
70 nautical miles