"Shared" level of FN an option?

I just brought one of my bonded pairs to college and am enjoying having them so I'm thinking of bringing my other two girls as well. They are all used to double FNs but there is not room for two in my apartment so what I'm wondering is if it would work to get a three level FN and have the middle section be a "public" space of sorts, where I have it open for one set every few days and let them alternate so they're not in the same space together but could take advantage of the space. They have been situation in cages next to each other for a little over three years at this point, so nobody's smell is new.