I installed garage doors for a short time. There were some occasions that I used 2 layers of the vinyl weatherstripping to make up for a poorly framed opening. I wonder if you could do the same and overlap the door more. I would take the sealing flange off when I used 2 for aestetics, but I cannot think of a reason you would have to. You would need some fairly long trim nails to so it.
I would think this could keep some of the infiltration down. On the con side, it is not as attractive and makes the opening a little smaller.
If you try it, I would close the door and tack it in a few places after you get the fit you are after. Then you can raise the door and finish nailing it without as much risk of an errant hammer strike on the door.
Anyone see holes in my idea?