Mr. Hawthorne and I went to The Lucky Twelve Tavern's
It's All About Oysters Special.
For about 18 - 24 oysters:
1 TB paprika
1 TB sugar
1/2 cup grated Parmesan cheese
1/2 stick unsalted butter, melted
Mix paprika, sugar, and cheese and sprinkle over top of oysters.
Pour butter over top.
Place oysters under 450° broiler for about 5 minutes. Time depends on distance of oyster to heat source. Watch it.
Remember, you can never under cook an oyster. You can, sadly, over cook an oyster. Don't do it.
These are best on the grill, but sometimes one must just improvise.