Bart, I think the armoire style doors would be fine. I don't know how much space they require but I think it would be easy enough to build the case for them. All you need is a second vertical side inside the case. the top could be easily removed and the top drawer made a bit deeper. You might consider making that one slide either direction so you could open it to either side of the bench.
In case you didn't see it, the SKP file for the drawing I did is in my first post. I thought you might as well have it to start from.
Oh, and you're more than welcome. Glad to do it.