The short answer
On slate the engraved area is the light area, so the image logic is inverted compared with wood. Prepare the photo for a short tonal range with a clear subject-background separation, let the untouched stone carry the darkest parts, and test on the same tile you will use, because natural stone varies. A dither pattern usually beats a greyscale ramp here, because the surface either lightens or does not.
- Engraved = light, untouched stone = dark
- Short tonal range: aim for clear separation
- Test on the same tile, not a different one