Chicken Cordon-Bleu Casserole

I love this casserole, I especially love that it doesn't have any condensed soups in it!

6 cooked chicken breast
      -I bake mine in the oven @ 350 for about 40 min, the first 20 of which the pan is covered.
6 slices cooked ham
6 slices Swiss cheese
4 Tbsp. butter
4 Tbsp. flour
2 Cups milk
1/4 tsp thyme (I use my Penzeys Poultry Seasoning in place of this and love it)
1/4 tsp salt
1/4 tsp pepper
1 beaten egg
1/4 cup breadcrumbs
1 Tbsp. melted butter

Place the chicken breast in a 9X13 baking pan.  Place the ham on top of the chicken and the Swiss cheese on top of the ham.  In a mixing bowl combine milk, thyme, salt, pepper, and egg.  In a medium sauce pan melt the butter then add the flour and whisk until smooth.  Add milk mixture and cook on medium heat until thick and bubbly.  Pour over the chicken/ham/cheese evenly.  Sprinkle the bread crumbs on top then drizzle the butter over the bread crumbs.  Cook at 350 for about 30 mins.  Serve over rice.

Source: My amazing friend Kym Wood