In the hands of the right pilot the BCF is perhaps the best of the BCH's, followed very closely by the C7. I saw that proven in 3rd fleet in countless games vs some of the best Klingon pilots in the game.
(at one point in time pilots from MOK had come over to third because MOK was collapsing...I will not mention names but we had dozens of practice games BCF vs C7 etc...)
The difference is not great however so no one should fly a BCF thinking they have any more of an "edge" than what they bring into the game to begin with pilot to pilot.
The problem with any FED ship is the learning curve.