Yes, NVH levels in the Honda Elevate are quite high, and thus, if it's only the ghats and long drives that you are considering, the Honda City will do just fine.
Moreover, the City will be more fuel efficient than the Elevate, even more so if you get the hybrid version, thus you will save on fuel bills during your long-distance travels. The only downside of the City is that its ground clearance is low, which can be a problem on bad roads.
However, if you are not going to go off-roading and the roads in your area are generally in good condition, this should not be a deal-breaker.

