I think there aren’t enough ships for the separatist faction. There are geonosian starfighters but only the hyena droid bomber and vulture droid are separatist and not geonosian.
Droid tri fighter (attacker) crew: none
Separatist shuttle (attacker) crew: b1 battle droid
Solar sailer (leader, support) crew: count dooku
Droid gunship (tank) crew: b2 super battle droid
Providence dreadnought/munificent frigate (capital ship) crew: watt tambor or nute gunray