Welcome Dave, sounds like you describe it well, calling it the beast.
I googled a bit, but I'm sure you've found the same stuff I did. Simplicity has owner's manuals and parts lists in pdf you can down load. Plus, Parts Tree comes up too, so parts shouldn't be too big an issue to find.
Hey Dave, bwdbrn1 has given good directions to get parts. Another place I found the double reduction parts is:
Genuine OEM Simplicity Parts - Simplicity Part Store.
I also have just acquired a CFC 20 and found this forum.
Some data I have found in various places :
CFC SERIES 1990 - 1994 CFC Series
COMMERCIAL FRONT CUT [RIDERS]
Manufacturer: Simplicity : Original price (USD) $7,800 (1992 )
Variants: CFC 20: wheel steer- ID# 1691846
CFC 20L: lever steer
not sure of lever steer ID
I am getting better at operating "The Beast". If you will, look to the hills, but be very careful whilst there; and stay away from anything less fragile than a bowling ball for a few hours of student driving time.