I'm not a construction guy so I have nothing to offer on that part of your question. As for "how close is too close," you'd like for the modes and mode-multiples to be at least 5 to 10 percent apart. But in a small room it's just as important to have more total room size than a good ratio. So I usually suggest not making a small room even smaller, regardless of how bad the ratio is now. Better to add yet more bass traps.
--Ethan