Simulating overcast day - Nishita

Hey there,

since I’m looking into cooperating with a drone photography team and the day isn’t always perfect, I have to apply diffuse, drab or whatever not-so-good lighting.
I’ve already found a way to simulate cloud shadows, but how would I proceed on a completely overcast day?
I use the Nishity Sky addon for time & location simulation, so I guess there would have to be a desaturation node or something, but how do I get the Nishita light output truly diffused? A giant diffusion scrim? Sorry, definitely lacking experience!

I definitely have to nail this, since drone photography in my location is extremely expensive and massively regulated.