My issue with CZ is that FD changed all the ships into massvie bullet sponges. I used to enjoy doing CZ in small ships, but now its just a chore. Fine if you are in a wing, but solo, you'll take ages killing anything that is bigger than you are.
And all because some people were AFKing them in turret boats... once again, a small minority of players ruining things for those who want to do have fun but challenging combat. There is nothing fun about plinking away at the same ship for 5 mins.
On the other hand, FD aren't blameless here, making them bullet sponges wasn't the only option open to them i'm sure. It was just the quick and dirty fix.
Anyway OP, i wouldn't advice CZ in small ships, except perhaps in something like the Vulture, with its large hardpoints, then at least you don't suffer the damage penalty against large ships. Especially if not fully engineered.
It is also worth keeping in mind that CZ aren't meant for new players really. They are meant to be a challenge. However, Low CZ should be doable if you use decent tactics (stay on the edge of combat, stick with allies, don't get sucked into combat against multiple enemies - at least the Cobra can boost away if you get into a tricky situation)