Heat your oven to 350ºF.

Remove the sausages from their casings. Crumble into a large skillet set over medium heat until cooked through, about 7 minutes. In a large bowl, mix together the bread, sausage, cheese, and thyme. Pour in just enough chicken stock to moisten the bread (you might not need it all).

Pour 2 cups of water into the bottom of a rectangular baking dish. Cut the peppers in half lengthwise; discard the stems and seeds. Stuff the peppers halves with the sausage and bread mixture; drizzle with half and half.

Bake 30 minutes, or until peppers are soft. Serve immediately.