Consider this dish a savory cobbler: a rich shrimp chili (which you could make on its own any weeknight), dotted with a thick, biscuitlike, cornbread topping.
Make Ahead Tip: Bake, let cool for 1 hour, cover with parchment paper then foil and refrigerate for up to 3 days. Reheat, covered, in a preheated 350 degrees F oven for 1 hour.