I think if money was no object, I would use weldmesh panels, dug into the ground, and up to six foot high. I would also probably roof it. At the moment our chicken runs are 6 foot high with chicken netting, and the bantams have, I think it is pheasant netting over the top. Mostly because they could fly out if it wasn't roofed..... If roofing, make sure you use larger gauge squares, lost a roof once in heavy snow as the snow caught in the smaller gauge netting and couldn't get through therefore all sat on top, bringing it down with the weight.
Beth