BGinVA, Depending on how high your run fencing will be, the cost differential between HC and WW fencing can be significant. A little math will show you the relative difference. Speaking from experience in very recently building a run with fence legs of 25' x 20' x 30' x 5', the difference for my 72" high enclosure was too much. It also seemed to me to be overkill for me to enclose my birds in 1/2" squares HC. So, what I did was what many do; I used 2"x4" x 72"H welded wire fence ($50.00/ 50' roll) for the entire 80+ foot fence. I then purchased 36" high HC, which allowed for 24"of the 36" to be above ground and protecting the birds from predators which may reach through the WW fencing and rip their faces off, and the remaining 12' of the 36" I bent at a 90 degree angle, garden stapled it to the earth, and then placed field stone on top of that. I did not dig 12" trench to submerge the HC in the earth. It looks nice and gives me piece of mind.
Good luck with your project!