There are not many CMOH awarded in real life, and for a reason. The few awarded to anyone on a destroyer, are for the most part, posthumous. I could not find but a few mentions of DD/DE craft at
https://www.history.navy.mil/browse-...ecipients.html
You will notice that Pharmacist Mates (medics) have a high-percentage of representation. For the most part, they were attached to US Marines units. For a bit of comparison, read "The Last Stand of the Tin Can Sailors" for an idea of what it takes for a CMOH.