Blacksheep, good points on capital ships and their "day in the sun."
I'll suggest to you that torpedoes remain a simpler way to sink a carrier than cruise missiles. The concession I'll make to the cruise missile approach is the concept of the saturation raid: quantity does indeed have a quality all its own ... if you can keep one's own guidance methods from interfering with one another as the attacking party.
Mines and torpedoes operate under the premise that
It is easier to sink a ship by letting water in from the bottom (torpedo) than it is to do so by trying to let the air out from the top (bomb/missile). 