the core of IN are its cruisers, and build them in twos
carriers: 2 dictators. these carriers are not launch and strike from afar, these or for upclose strikes within 20-40cm
all around cruisers: 2 lunars. these have a mix of batteries, lances, and torpedoes
complements: dominator/tyrant + gothic. dominator/tyrant are battery gunships (the actual number of attack dice will vary based on circumstances). gothic is a lance gunship, always hit on a 4+ but only 4 dice max.
four-6 cruisers would be a great core.
build 1-2 escort squadrons to either increase the strength of your cruiser build, or to cover its deficit.
and take one battleship. the emperor (battle carrier) is popular, the retribution (battery gunship) has followers, the apocalypse (lance gunship) is decent.
in your case take the Inquisition Blackship battleship.
a battleship rarely make a difference in winning or losing and i consider them a personality addition for flavor and character.
http://warmancer.blogspot.com/2009/06/bfg-imperial-navy.htmlhttp://warmancer.blogspot.com/2009/09/bfg-tactic-how-to-inflict-damage.html