You'd have to basically gut the incorrect blower, and re-install everything inside the correct housing, and I would bet big bucks Deere will soak you badly on the price of that housing (if you can even do the swap), plus there is the issue of belt lengths and pulley locations on the blower itself for the blower fan drive system.
You're far better off watching CK for the correct one. They come up on there fairly often (except for when it's what you are looking for LOL). That's where I sold mine. A guy from somewhere in central Indiana came all the way up and bought it.
What is CK ?