Thanks for moving this to the public forum. 
My only two options would be to suspend it from the ceiling near the back wall or place leg supports and again position it up near the wall.
I imagine either of those will be fine.
My concern is will this three or four inch gap between the rear wall and the diffuser cause unwanted resonance?
Probably not, since it's not a sealed cavity. But you could always stuff some fiberglass or acoustic foam in there just to be sure.
My next question is bigger better than smaller or vica versa? I was contemplating using one sheet of 4x8 birch wood and make one large diffuser.
Yes, that's what I'd do. A small diffusor on a large wall is not so useful - acoustic treatment is about percentage of surface coverage.
--Ethan