Oh, they exist - I bought one!
Very smooth ride; not rickety at all. Looked good! You will see similar models rolling down the hospital halls of major hospitals. Got it on eBay, a steal at $300.
I just found that the real life one was just a little bigger than would fit comfortably in my exam rooms.
I have a bunch of links to good stands, all the fruit of my past research. I will post it, if you like.
Adam, one last question: will your laptop fold up into a tablet/slate? If it will, I have a great idea for you.