You want to hunt wolves? Get up off the couch and get in shape and get some cross country skis. Then get yourself a few Russian Borzoi dogs. You will be a moonlight night wintertime wolf killing machine. Go see how Russians hunt wolves. Unless a depredation hunt using helicopters, they use Borzoi dogs to chase down and hold the wolf.
It goes without saying you do not buy Borzoi show dogs. You might need to import the real Russian hunting type. I know of at least 3 types of Russian Borzoi, from different regions of Russia. Borzoi is the Anglicized Russian word "Borzaya", which simply translates as "fast". The type you want may be the Siberian strain, known as Borzaya Sibirskaya, or Siberian Borzoi. There is also Borzaya Skrimskaya, or Crimean Borzoi from Russian south. The type you usually see American owning is Borzaya Psovaya Russkaya, or Russian wavy-haired Borzoi. This is the dog from the old Smirnoff vodka ads in magazines that showed a Czar and his dog. Only Aristocrats were allowed to own Borzoi in Czarist Russia
Borzoi dogs almost fly over the ground. Slim chance a wolf will escape. Hunting wolves with Borzoi could be more fun than you can imagine. No gun is necessary. Sometimes Russians just finish off the wolf with their knife. Since you can't sell the wolf fur in most cases, due to treehuggers, being torn to pieces by dogs isn't an issue. In a highly populated state, gunshots at night will draw attention and a dog pack in the daytime is noticeable.
Russians commonly use helicopters and semi-auto rifles for wolf depredation hunts these days, but that is not your option. The old classic sporting Czarist Russian way should still work if you want the most sport out of it. The Russian aristocrats followed on horses if snow conditions allowed. In thick forest, X-C skis are the best way to get around.