Two Words:
Monty Python.
If you are unfamiliar with this technique, it involves flying away from the enemy at a speed equal to them while keeping them just within firing range. As long as they don't get too close, they won't fire. While your turrets/cannons eat away at their shield and ultimately, destroy them. The problem with this technique in your situation is the fact that they're fighters, and you're a warship.
If you haven't done so already, head over to the Azdargari home system and buy all the engine, acceleration, and turning upgrade. They'll help you here, and just about everywhere else in the game.
Even though the fighters will most likely be faster than you, even with the upgrade, give the Monty Python I try, it could work.
Oh, and btw, they way I deal with Crescent Fighters is a combination of phase turrets and afterburner. Lock onto one, and fire on it until it's dead and lock onto the next. Afterburner away from the swarm when your shields/armor drop too low.
Try to get more fighting escorts, too. The strand Aradas and renegade Aradas made pretty good escorts.
Good Luck.
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-- Greg Anderson
-- Member of GS Creation's Storyline Developement Team
-- AIM Screenname: DrowninInReality
-- E-Mail: foodvelocity@mac.com