I don't use capitals to kill REDACTED at all.
Most of the time, it's a fighter-heavy fleet. A Heron, a Mora, two Drover, 1-2 Afflictor, 1-2 Apogee. I may also bring Hammerheads, but these require babysitting. Same with Drover. Success hinges on the player being able to direct aggression.
It is crucial that the player take the lead using the deep Apogee shield & flux pool. I go for a very minimalist loadout with a Plasma Cannon, Locust SRM, two Pulse Lasers and PD.
The carriers get a balanced loadout and either Khopesh or Dagger bombers, sided by RED fighters. Tac Lasers & HVD on Heron, some Railguns and Annihilators on the Mora. Naturally you want EMP resist on all ships. Defense points help as well, since RED can make quick work of stragglers. Formations may open up later when the enemy fleet has been weakened.
This works against fleets up to and including Radiants. I would bring capitals against a top-tier station.