Okay, thank you all. It seems that POV-Ray is indeed capable of doing it.
However, to make it really viable for me, I need some more functionality. During
the raycasting I want to make some extra checks.

For example, I have multiple objects in front of eachother with some space
between them. Instead of writing a depth map of the scene, letting rays end
whenever they hit any object, I may want to write the depth values of an
complete second object.

To achieve this I may need to let the ray keep till it hits the 3rd face,
ignoring the first 2 faces.

Is this possible at all?

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