Question: Can you disable chicken jockeys with a datapack?

Background: I have an issue in my modded server where we have chickens overspawning. I theorize that the problem is being caused by using Bad Mobs to disable zombies, but it still attempts to spawn them - and by doing so, it also spawns a chicken at the same time when trying to spawn a zombie as a chicken jockey. We've had to disable chickens temporarily so we don't have hundreds at a time in caves under our bases. I've been trying to find a way to allow chickens but still block zombies in the overworld, but aside from using InControl (which is breaking my brain trying to understand), I haven't found anything. Can a datapack be made to prevent chickens from spawning when a zombie attempts to spawn?