Hops seem to grow best if given twine and they can grow straight up. My main hop bed is twine up to the eves of the house. However, in two other beds I use them as a natural fence and they are growing in and out of chain link and welded wire fencing.
I once saw a house in Denver, in a warehouse area and the owner had the house covered in hops and morning glorys. Both growing in chicken wire. No water with plenty of dust.
In the wild they are growing on the ground or what ever they can attatch themselves to.