I'm late to this thread but it was interesting reading many of the comments.
I took delivery of a 2720 fall of 2011. Mowed once before the grass went dormant but that was long enough to see some of the problems identified here.
I traded in a 2305 with a 54c mmm. I got tired of dragging the deck out from underneath the tractor, got tired of the deck slowly lowering as I mowed, and got tired of guessing where the mower height was going to be, etc. The 54c was a floating deck and could be operated at its full height in some pretty tall grass. But at lower heights it would leave uneven cuts as the deck swung a bit and tried to level itself out on slopes.
With the 2720 I was looking forward to using the stow and go on the larger deck. I was pretty disappointed when I saw that the deck no longer came with the attachments even though the manual clearly showed them.
It does mow much more even, it stays at the proper height (but it won't mow as high as the 2305), and it doesn't drift down.
I usually remove the deck over a grassy area with the deck on the ground. When I tried to re-attach the deck over a concrete floor the deck would slide as I drove up over it. It stays put for the most part on the grass. Except I can't leave it there very long or it will kill the grass.
Another thread mentioned this company for casters to stand up the mower deck in order to move it around and take up less space. Some on TBN have built there own. In either case it doesn't look easy getting the deck up on those wheels no matter which way you go.
Mower Deck Axles,Carrera,Cayman,John Deere,Kubota
Some good suggestions on using the hose attachment. On my old 54c I would stand it up and lean it against the FEL and take the power washer to it. I think the 62d is quite a bit heavier but maybe once I get it on some wheels cleaning it will be easier.