Containers sound like a good idea, but I used to work in a facility which washed and aged washed rinds on racks in the same cave as cheeses such as ossau-iraty, cheddars, and gruyeres. If I can avoid having to separate washed rinds from the rest, I'd like to. I'm working with a much smaller cave, though, so I'm not sure if it would work out.
As for what I have open in the cave currently; I have some moldier cheeses such as pecornio, abrigo, and paski sir, as well as some harder cheeses such as manchego, zamorano, and unwaxed gouda. I don't have any blues or cheddars in it currently, but I might move some cheddar in there in the future.
Any further advice on humidity would be great. I'm running two small foggers right now, trying to keep them around 80% for bloomy rinds and 70% for moldy/dry rinds. Let me know how to best adjust my system, any advice is appreciated!