Preheat oven to 370°F Butter 13 x 9 x 2-inch glass baking dish.
Mix 1/4 part of goat cheese, crushed graham crakers, paprika and herbes de provence. Set aside.
Mix first 9 ingredients in large pot. Bring to simmer over medium-high heat while stirring constantly. Add remaining 3/4 of cheese; whisk until smooth. Add potatoes to pot; bring to simmer.
Transfer potato mixture to prepared dish, spreading evenly. Spread the cheese, herbs and graham mixture evenly on top of the potato mixture in the glass dish. Cover with foil; bake 30 minutes. Uncover and bake until potatoes are very tender, the top crust is golden and liquid bubbles thickly, about 35 minutes.