Well, it's possible to imagine the fleet as a holding, and Adama as its hardholder (oh man, the ownership of that holding changes hands a lot, huh?).
So, the fleet would have surplus and wants. Probably wants like hunger, desertion, mutiny, infiltrated, lost.
Between sessions or after some downtime -- when Adama's command is secure -- his player can make a wealth-style move to determine the outlook of the fleet. You'd hit and get surplus, or a mix of surplus and want, or just wants (on a miss).
Probably making that move also means you're issuing new orders to the fleet. Which might put your orders in conflict with the needs and goals of the other ship captains, in which case a pack alpha style move might be called for.
When you organize CAG missions and such, that's probably working gigs, like moonlighting.
I'm just spitballing here, not really designing. A BSG hack will have its own particular vision and call for its own moves. But the rough shape of it is there under the skin of AW, for sure.