I think 'The Devil in the Dark' from the Original Series would be a good option. As would "Lift Us Where Suffering Cannot Reach" from Strange New Worlds.

I would have it run until Kirk takes over as captain. Then jump forward to just after The Motion Picture.

This not only gives them about a decade of time before TWOK that’s barely been touched by the screen canon, they can do a design revamp to freshen the series up using TMP as a starting point, and they handle the fact that with a series per year the actors are going to quickly age ahead of their characters.

The whole ensemble got something to do, except Ortegas who slowly turns into SNW’s Travis Mayweather: that one cast member that is just there physically but doesn’t get anything to do.

I get the feeling the writers don't really know what to do with Ortegas beyond that she "flies the ship".