It wasn't so bad, I used google's spreadsheet and it allowed me to easily visualize how the skills were arranged and how I could share officers. Anyway, I've tested out the new arrangement for the Promethus and its a pretty good setup except for one flaw. As I am heavily using Tactical Team and Science Team, I quickly realized Engineering Team was never ready when I needed it most as these three skills share the same cooldown timer. So I think I need to replace Engineering Team with another hull repair skill.
Can I apply two Hazard Emitter skills at the same time?