Thanks for all the encouragement on figuring out a rear hitch. Here's my tractor:
Model 144782399
Serial 20506010733219
It has the series 2 engine (good)
It has an aluminum rear axle (not so good)
It runs great and I cut my yard with brand new blades yesterday -- I actually ENJOYED mowing the lawn. All in all it seems to be a great machine and a lot of fun to use.
EDIT: Would this hitch fit:
http://onlycubcadets.net/forum/showthread.php?t=24026
Thanks again,
Mike