I am with you auntdot. When I want steak I have steak. When I want lobster I have lobster. I have never wanted the two together. Of course I love them both and would not pass up the opportunity to have them even if served together.
To answer the OP's question, if you want them both at the same time then go simple. Grill the steak and steam the lobster. You can seat me next to Andy M. at the table.