I didn't understand until I reread your post. Can't answer definitively, but I think you might run into issues trying to push air all the way through 10" of carbon. 90CFM doesn't seem like it would do it. Plus, it seems a bit inefficient, you would lose a lot of airflow if it does work. You need either something of smaller diameter to put inside (and a lot of drilled holes) to make something like the filter from this post, or two 4" diameter pieces of screen so that you can have something like || || . The air would go through the first screen of the can, through carbon, through one of the screens you make, through empty space, through the second screen you make, through carbon again, then the final screen. I hope that makes sense. You would have carbon on both ends with empty space in the middle and the air would filter twice.
Only way to know for sure though, is to try it your way first. Some fans have better resistance against back pressure than others.