And now an answer from a real MINI owner ;)
Yes, you can tow the automatic with either a dolly or trailer. When I towed my 05, I used a Demco tow dolly but the hubby made a modification to allow for low clearance. As you know, Minis tend to sit lower than other cars. He removed the ramps so they wouldn't kick up into the side panels and used wooden block with the ramps to load the car. The ramps were stored in the boot of the car during travel.
Here's a picture of my 05 MCSCa on a tow dolly
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And some of my 06 GP, which was lower than a standard Mini
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Feel free to contact me by PM if you have any questions. Cheers!