is a civilian ship so she doesn't work with the Starfleet rank system. For each crewmembers primary position I've tried to avoid using 'officer' to describe them, whilst the post of 'Captain' is more a title than a rank.
Since rank doesn't play much of a role on the ship (for the most part everyone is called by the first name) I haven't really spent time thinking up the Daystrom Institutes ranking structure--I will get to that sometime though. In the Vanguard series though they had a three braid Captain, as well as a Commander, Lieutenant Commander and six other officers on a ship with 14 crew, so they do seem to be ships that are somewhat disproportionate in their officer-enlisted ratio.
Commander Austin Harris, First Officer, Deep Space Nine (by FltCpt. Bossco)
8.01 - Darkest Before Dawn
(Chapter 8 added, 12/09/2015)