The factory does not provide aircraft in which to train–this is why the acceptance flight occurs first (with a factory pilot at the controls), and then the papers are signed and money exchanged, and then the training begins. Also, Cirrus does not actually do training; the training is provided by Wings Aloft, who must be made named insureds on the insurance policy.
I doubt that you will be able to receive training in anything other than your father’s plane, since it is unlikely that the few places that offer SR20s for rental will allow training in them (unless perhaps you join their flying club, and have 250+ hours and an instrument rating, which I’ve heard are minimums for at least one of those available for rent.)
Another possibility is to pay to have Wings Aloft send somebody out to your home airport to do training in your father’s plane. This will doubtlessly cost more than doing it in Duluth.
I also know of partners that have trained simultaneously in their plane in Duluth, so it is not out of the question that you could overlap your training with your father’s in the same plane. I imagine it will take longer, but I doubt it will take twice as long (certainly the ground portion will overlap, and the flight time is kind of a judgement call on the part of the instructors based on experience and progress.)
I ended up with 7.2 flight hours over two days when I did my training, but this was mostly because we were out having fun both days and weren’t in a hurry. If you and your father are both reasonably experienced pilots, I’ll bet you can probably both train up in a couple of days.
If you have tight time constraints, however, you should probably skip going at all, since delays, weather, squawks, and acts of god will conspire to complicate things.
Good luck, and above all, have fun!