In a large bowl, combine ham, croutons, broccoli, and cheese. Put this mixture in an ungreased 11x7 inch casserole dish. In the bowl, combine milk, salad dressing, eggs, mustard and basil. Pour evenly over broccoli mixture. Refrigerate for 1 hour to soften croutons. Preheat oven to 375 degrees F (190 degrees C).