For a CZ Vulture, I'd recommend something fully engineered and guardianized - CZ enemies are tough and sometimes (high CZ) engineered.
I'd also use low area effect weapons, so my favourite size 3 weapons (Pacifiers) are out. This is basically a Vulture equivalent of my CZ Mamba:
s.orbis.zone
A (fixed, you might go gimbal - but then again, the Vulture will have a hard time if you trigger both barrels simultaneously) efficient thermal vent beam and a focussed (you might go for long range instead - either mod will give you up to double shot speed, which is what I find the most desireable PA mod) Plasma Accelerator.
The Mamba has more hardpoints, so I use two retributors on the smalls, two gimballed beams on the large and a PA on the huge. PA ammo so far has been (barely - I'm usually dry at the end) sufficient for one CZ.
I'd also use low area effect weapons, so my favourite size 3 weapons (Pacifiers) are out. This is basically a Vulture equivalent of my CZ Mamba:
Coriolis EDCD Edition
A ship builder, outfitting and comparison tool for Elite Dangerous

The Mamba has more hardpoints, so I use two retributors on the smalls, two gimballed beams on the large and a PA on the huge. PA ammo so far has been (barely - I'm usually dry at the end) sufficient for one CZ.