Mahonri, there would be no guarantee if you were to make that mating. The cross can produce poodle coated dogs, golden coated (shedding) dogs, or something in between.
Amyable, shelters shouldn't break your heart. The people who needlessly and thoughtlessly allow dogs to breed should be the ones who break your heart. It's all about responsible ownership, and I don't think creating mutt breeds for the $ is responsible. If you want a mongrel (they can be...