Bring rice and 1 3/4 cups water to a boil, cover and simmer on low for 15 minutes, then rest covered for 10 minutes. Blanch green beans in boiling water for 3 minutes and drain well.
Heat the oven to 375°F and oil two 8-inch-square metal pans. Melt butter in a saucepan, stir in flour for 1 minute and gradually whisk in 2 cups broth and milk.
Simmer for 4 to 5 minutes until thickened, then stir in mustard, dill, salt and pepper. Fold sauce with cooked rice, chicken, beans and half the Swiss.
Divide among pans, top with remaining Swiss and bake for 25 to 30 minutes until the center reaches 165°F.
Freeze after baking: refrigerate pans within 2 hours and chill fully, then cover tightly with foil and a second wrap, label and freeze for up to 2 months.
Thaw a pan in the refrigerator for 24 hours. Remove outer wrap, drizzle 1/4 cup reserved broth around the edges and cover with foil.
Reheat at 350°F for 30 to 40 minutes, then uncover for 5 to 10 minutes until the center reaches 165°F. Rest for 5 minutes and serve 4 portions per pan.