Combine lime juice, 6 Tablespoons oil, shoyu, cilantro, garlic, hot pepper, honey, and pepper to taste in a small bowl. Whisk together and set aside.

If steak is thicker than 1 inch, place between two sheets of plastic wrap and pound on both sides. Remove wrap and place meat in a shallow nonreactive dish that is just small enough to hold the meat. Pour HALF the marinade (about 2/3 cup) over the meat. Cover and marinate in the refrigerator for at least 1 hour or up to 12 hours (longer is better). Take the reserved marinade in the bowl and add 2 Tablespoons olive oil. Set this aside as your salad dressing.

Pull the steak from the refrigerator about 30-60 minutes before cooking it. Preheat oven to 275 degrees or preheat a grill.

Insert a wire rack inside a baking sheet and place the meat on top of the rack and sprinkle with a pinch of salt. Bake for 20-30 minutes for medium to medium-well.

Heat the oil in a heavy skillet, preferably cast iron, over high heat. Transfer the steak to the skillet and sear for 2-3 minutes on each side for medium to medium-well. Alternatively, grill over medium heat for about 10 minutes for medium doneness.

Transfer meat to a carving board and allow to rest for 10 minutes, covered.

Assemble the salad greens on a platter and drizzle with half the dressing (about 1/3 cup), tossing to coat. Drizzle the shallots and vegetables with half the remaining dressing (about 2 ½ Tablespoons). Toss to coat and arrange on top of the salad. Taste for salt and add as needed.

Slice meat thinly against the grain on a diagonal. Arrange slices of meat on top of the greens and drizzle with remaining dressing.