I'm by no means an expert, but I would think you would want to pick one sub or the other. Two mismatched subs are going to have very difference response curves, so sometimes the bass might be uneven, and sometimes it would be lacking. The only option I could see working in that case is using a crossover or combination of hi-pass/low-filters so that the two subs are covering different parts of the spectrum - ideally based on their response.
I also agree that the extra space behind could be problematic, but not a non-starter. You may want to figure out if you have a piece of furniture or some other wall or partition you can use behind the sub. Else, you may need to resort to insane amounts of power or attempt to create a cardioid radiation pattern using the two subs in unison. Again, much easier with matched subs designed for that scenario/application. This is used in live sound applications, and I've never heard of anyone using it at home, but no reason it couldn't work.