I could absolutely see a cleric having the roll of coroner / mortician being able to perform holy rights for the body, and preserving it via gentle repose but also being able to use spells like speak with dead for investigation.

Coroner is a really interesting position, with it's etymology lying in the word crown (i.e. Corona). This is due to its position being appointed by the crown, a position that's hard to fill due to a wide range of expertise being required, from law to medicine to funerary rites etc.

In a setting or region of a setting with either a joined church and state or where the church are active in the legal proceedings of their community, perhaps the role of investor and coroner is a single position performed by a grave cleric, as long as they take long naps of course.