The short list of worthwhile virtues on a captain would be:
Valour
Zeal
Fidelity
Innocence
Compassion
Discipline
Tolerance (there are many more efficient ways to get Tact mit, but its still viable)
Charity+Honour (The small dose of Tact/Phys mit is nice, but the RNG nature of resistance makes this stat perhaps less valuable than more straightforward stats like mits, morale, and mastery)
Fortitude (if you're going 'glass cannon')

Compassion, and Innocence take a bit of a back seat in PvE where common mit is far easier to cap than Phys mit, while Discipline loses a decent bit of value in PvP where that huge chunk of might is less important than maxing morale/mits pools with fewer essence slots available.

For me, in PvP I run Valour, Zeal, Fidelity, Innocence, and Compassion, and if I PvE'd more I'd grind out Discipline to swap with Compassion.