Set up the lemon mayonnaise. In a little bowl, join mayonnaise, juice, cayenne, salt and zing. Put away for flavors to mix.
Brush steaks with oil and sprinkle with salt and pepper. Barbecue around 4 crawls from coals until done on one side, around 6 to 7 minutes. Turn and rehash on the opposite side. Spread with lemon mayonnaise.