Combine blue cheese, horseradish, mayonnaise, and 1/4 teaspoon pepper. Combine 1 tablespoon cheese mixture, vinegar, honey, and garlic in a medium bowl. Add 1/4 teaspoon pepper, cabbage, celery, and basil.
Warm tortillas according to package directions. Spread remaining cheese mixture evenly over tortillas. Divide beef and cabbage mixture evenly among tortillas; roll up. Cut each rolled tortilla in half crosswise.