I use a cable like this one on the Due side: http://www.ebay.com/itm/Micro-USB-Host-OTG-Cable-W-USB-power-Samsung-phone-i9100-i9300-i9220-9250-/150928276246?_trksid=p2047675.m1850&_trkparms=aid%3D222002%26algo%3DSIC.FIT%26ao%3D1%26asc%3D11%26meid%3D3299974227435379446%26pid%3D100011%26prg%3D1005%26rk%3D1%26sd%3D110931117836%26
It plugs into either the programming port or the native port. On the other end I use a normal USB charging cable (#1 in your list).
Is it simply because I'm using the wrong cable? But the host port powers up when the programming port is connected to the PC!
EDIT: The special cable acts like a normal OTG cable with the option of external power supply (not used in this case)