Smokey if you are going to seed the “random” draw then I suggest you do it like this:
Conf A
Div 1: 1E, 4W, 5E, 8W, 9E, 12W
Div 2: 2W, 3E, 6W, 7E, 10W, 11E
ConfB
Div 1: 1W, 4E, 5W, 8E, 9W, 12E
Div 2: 2E, 3W, 6E, 7W, 10E, 11W
The above is EXACTLY how a 24-team two conference league with four total divisions would seed out if it were a conference in the NCAA.