Use them strafe thrusters boy! I havnt had many issues, and my main profession is piracy, so it requires not only keeping the target in sight, but trying to keep them on their belly...
The first part I dont have much a problem with... But they really dont like to reveal their cargo hatch once they realize I'm shooting it. Never the less, I made around 150K in the first couple hours.
I find the key to success in combat is to not think of it like an aerial craft, and realize you can move in 3D. Use that Flight Assist Off to maneuver. I like to turn it off while strafing, and re enable it when I go to aim. I find intermittent use to be the smoothest combo of agility and accuracy, and the quickest path to victory. I learned to do this during beta, with the Viper which is far less agile than the Cobra, and never had any issues. I dont even use gimbaled weapons so its very possible.
Analog control over the strafe thrusters will help enormously too. I use the rotary hats on my X65f for it (though I have a tendency to forget theyre on when I go to dock, causing some hilarity for any onlookers)