Honestly, as far as I know it looks pretty solid. I could not imagine it without any black around. I mean, it is a cool piece, without this background the white wolf could not be so cool to watch.
A week ago I got my forearm tattoed too with a wolf, and the artist just did an absolute masterpiece. He hasn't told me that he wanted to use that much black, but he just went straight. The result is simply amazing, now that it is healing the wolf is like a pencil draw, and the black around gives prominence to the wolf face.
Anyway, as the others said, just deal with it, I guess you will like it way much more once it will be healed! (sorry for my bad english)
I would not recommend trying to use another artist's design. There's about a 90% chance that a quality artist won't want to do it, and a tattooist who would wouldn't be up to the task. Meantime with respect to traditional in your immediate area here is a very short list: