The only truly organic way to control them is to go out there and pick, and squash them by hand, ESPECIALLY the larvae.
There is a true organic way to kill them but it is only available to commercial growers, and for what reason I do not know.
It was available a few years ago to the general public but was pulled by the government agency.
Bonide makes a non-organic killer but even that only works well if you go out and lift and spray every plant, top and bottom till it is soaked.
I have had infestations and sprayed the nasty stuff that kills every thing repeatedly and they still ravaged the plants.
Last year I did my old method and walked the garden squashing bug, larvae and ---- eggs, they are on the BOTTOM side of the leaves.
Even then I did not get them all but I noticed I had a large population of Lady bugs, both normal and Asian and the Potato bugs simply were gone before they did much damage even though I know I did not get them all.
There are some potato varieties they simply do not like and pretty much leave alone.
Russets seem to be their favorites.