There are studies. I don't have them now. Bottom line is that you can't localize the sub below about 80hz. Now that's not to say you will not notice a poorly integrated sub or distortion. The problem with subs is that folks often don't use a crossover, don't time/phase align at the crossover.
I'm not sure about all the modes in your room. Subs can't eliminate all of them. Keith asked about a particular mode and I explained how to reduce it with one sub. But one would need to use a crossover. Trust me, crossovers do work.
There's a lot of opinions about sub crossover points. All I can say is what I've tried and what the research says about bass localization. If you can localize your sub at 40hz, there's something seriously wrong with your sub. Think about the wave lengths and the size of your head. It's impossible.
When we talk about bass, it's always a balancing act. So the only question is better or worse.
If you have two subs, you can eliminate all the even order axial modes for the length of your room. If your room is rectangular, you could run them both mono and place each at the midwall point of the front and back walls. That will eliminate all the even order axials. It will NOT eliminate the 1st axial or the the other odds. The only way to do that with 2 subs is to run the two subs in opposite polarity, which I wouldn't really recommend.