Skillet Cornbread Pudding with Ham and Pepper Jack

1 

1/2 cups cooked corn , fresh or thawed frozen

1 bunch scallion s (white and green parts), sliced

1 (6-ounce) chunk Black Forest ham , diced (about 1 1/4 cups)

1 clove garlic, chopped

1/2 teaspoon chili powder

3 large egg s

2 cups half-and-half

4 ounces pepper jack cheese, diced

1/4 cup chopped fresh basil leaves

1 teaspoon kosher salt

Freshly ground black pepper

1 cup packaged cornbread stuffing cubes

Pinch sugar