According to the Alaska Fish and Game website nonresidents hunting brown/grizzly bear, dall sheep, or mountain goats must be accompanied by a licensed guide or by a family member of the second degree of kindred. Second degree of kindred being father, mother, brother, sister, son, daughter, spouse, grandparent, grandchild, brother or sister-in-law, mother or father-in-law, son or daughter-in-law, stepfather, stepmother, stepson, stepdaughter, stepbrother, stepsister. It doesn't look like your second cousin will count.