Red-Eye Shrimp and Grits

1 tablespoon olive oil
4 ounces country ham or other smoked ham, chopped
8 ounces sliced fresh mushrooms
1/2 teaspoon seasoning salt
1/2 teaspoon dried minced thyme
1/2 cup chopped green onions
2 teaspoons minced garlic
1 cup strong coffee
1/4 cup sherry
1 tablespoon cornstarch
1 teaspoon hot pepper sauce, or to taste
1 pound peeled and deveined medium shrimp
Cooked grits or cheese grits

Saut