I would agree with the above comment. I think you need to trailer the bike. The ones you see carrying something as big as a Fat Boy, are the Class "A" diesel pushers.
Adding 700+ pounds, and most likely closer to 900 pounds with everything needed, that far back, and it will have to be at least another 2'+ behind the bumper for your bars to clear, would make your front end too light, and most likely dangerous. The existing hitch, likely will also have to be replaced with a stronger one also, as it is probably only good for 500 pounds (check your manual).