If I am correct, the case of the .22 Win Auto is the same rim and diameter of the .22 WRF or Mag. If there was a way to pull the bullet, trim the case, charge with a correct amount of powder and reseat the bullet, you'l be in business.
I've heard of fellers that reload .22 rimfire, and some of the same dies and tool could be utilized here.
I ordered a couple of boxes from J&G. The price seems high, but I've seen cheapo Magnum ammo sell for more lately.