How to get a path on the surface of a NavMesh

I'm using NavMesh.CalculatePath to get a path and would now like to draw a visualisation of it. The issue is that the path often dips quite severely below the NavMesh, so you can't see the visualisation.

Is there away to ensure the path follows the NavMesh?

I could of course use raycasts or some other method to find the ground level at each point, but this seems pretty hacky and I'm hoping there's a nicer way.