From one who's been in SFC for a while:
The only way a drone takes out a full fighter squadron is if they're weaker fighters. All SFC fighters are designed with WPBs on, so some of them only wind up being able to eat 5-6 damage per fighter. Due to "carry-over damage" implemented in fighter squadrons, a single Type-IV (24 damage) can wipe out a full squadron... BTW, in SFB, drones and fighter explosions do not do collateral damage to any other objects in the hex. So, without that provision, SFB has it set that, for the most part, one drone = one dead fighter.
That was already accounted for.
My recommendation called for using ZD-equivalent fighters. Learning about the SFB ruling, that's not an option anymore, don't want you stuck with (after boosting) speed 20 fighters that fall after eating 5 damage per fighter.
Continue sticking with the ZYs, but get the booster packs. That'll enable the fighters to do speed 30, even though they'll die in 7.5 points of damage (rounded up to 8 damage) each fighter. Again, this fraility was accounted for.
Now, the ship choices for the Anti-DN wing:
Flag: a 12 to 16 fighter carrier. I was thinking the Interdiction Carrier, based off the D6V hull. If your aux carriers are that capable, since they'll (hopefully) be out of the action, then stick with the aux.
Wings: 2x D5E (AD5) escorts. D5Es are cheaper, since in SFC every ship has the identically same effective aegis system. Stick with the cheaper BPV ships since Aegis does nothing for you here.
IIRC, the 2x D5Es carry something like 8 G-racks between them all, meaning that, in SFC, you have 8xAMD6 on the table, supplanted by fighter / escort phasers. The Kzin wing can throw no more than 36 drones up at once, the first wave or 2 should shatter spectacularly against your AMD forest, whether he's packing Type Is or IVs.
And therein lies the heart of my strategy. Staying at range 15+ with the fighters innate 2 ECM (1 shift), will mitigate or negate damage to the fighters from phasers / dizzies, and if he's stupid to launch drones into the PD wall you have, they shouldn't last long enough to dream of hitting a fighter, nevermind actually hurting your attack wing.
When ready (you've shattered a few drone waves and reloaded AMDs and you're approaching from opposite the wingmen if they've survived), you set up the kill. Fighter drones, chasered by scatterpacks (12xType Is) and a full rack launch from the D5Es (8xType IVs) is sending obviously fatal damage at the DN. It'll take the full resources of the DN wing to stuff this launch, as it should be fairly well spread out. If the Kzin tries to T-Bomb them, feed the t-bomber a full phaser alpha through the down shield, and pray your fighters try the same, as each (should be still full) ZY squadron will hit like 2xPh-Gs.
One assosciate slaps a tractor on the DN to prevent a weasel, and the DN should pop quite nicely, or be so crippled a monkey in a shuttle can kill it.
Only weakness of this entire plan is the lack of energy weapons in the portrayed squadron, so pray that the opponent doesn't wizen up and start flying tons of MAC/MEC escorts (the Kzin equivalent of the D5E). Hence the concept of planting 1 or 2 C7s in other squadrons of the attack force, the C7s (D7s if necessary) can smack around the MECs / MACs before the DN is popped by the fighter/D5E combo...