You sound like your from the U.P. Are you a Yooper?
It's essential to remove all of the feathers, and maybe the areas fo the breast meat where the wing meats the body. Typically, that's the gamiest part of the birds. I've cleaned my share of ruffed grouse, and imagine that most game birds are similar in flavor make-up as far as where the gaminess is most pronounced. It's the area that gets the most blood flow.
I always though snipe were fictitious birds with which to cause a bit of horseplay between those who have been, and those who haven't been on a snipe hunt.
Herbs such as sage and thyme will mask some of that gaminess as well. Pepper helps too. I would stay away from rosemary though. It might accentuate the flavor. I've found that the most powerful gaminess comes from birds that have fed on, and lived in pine areas. Also, if they eat a lot of wild sage, they can develop strong flavors.
Seeeeeeyal; Goodweed of the North