My daughter spent 6 years in Pocatello. Everyone grew their own potatoes, which I thought was funny as you could go down to "Freddies" in the fall and buy a 50 lb box for $5.
Anyway, the people she knew grew them in giant wood boxes with one side that could be taken off to dig the potatoes. So a mound of dirt sitting beside the giant wood box. Plant the seed potatoes at the bottom and fill the box from the mound of dirt as the potatoes grow. I think they used the same dirt year after year.
My grandmother grew them in Unionville, NV (Zone 7a). She planted them out in the pastor and left them year round. When she wanted potatoes, she sent the kids out to dig up a bucket full.
Daisy