Mark,
I learned all the maneuvers in my C172, then rented a Beech Debonair
for 10 hrs working on landings and emergency procedures, and some
traveling I needed to do.

I then did the commercial check ride in my C172 and the Deb - with
0.3hrs in the deb (two circuits around the pattern at an uncontrolled
field).

I flew the 172 to the the DE's airport, did the oral, paperwork, and
inspection. Flew the chandelles and lazy8's on the way to another
airport, where we rented a BE33 to demonstrate the complex procedures.
Then flew the DE back home.

I used the same BE33 for CFI a few months later.

You could install a constant speed prop and retractable nose gear to
your Cozy, then you would be all set...

Mitch