Sliders may be made several hours ahead and refrigerated, then baked as needed.
Preheat oven to 350 degrees F.
Lay the bottoms of the buns in a casserole, snugly together. Add a teaspoon of Honey Mustard Mayo or Supreme Sauce to each bun. Top all the buns with ham, then turkey, then cheese. (Crumple or fold up the lunchmeat and cut or tear the cheese to fit if necessary.) Add another teaspoon of the Mayo or Sauce to the bottom of each bun top and place on to sliders.
Brush the tops of the slider bun with Garlic Butter Sauce and bake, tightly covered with aluminum foil for 10 minutes. Uncover, brush tops again and bake uncovered until the tops are dry and cheese is melted, five to 10 minutes. Remove from oven and sprinkle with sea salt.
Honey Mustard Mayonnaise:
Mix all ingredients together. Taste and more honey or more mayonnaise, if desired.
Garlic Butter Sauce:
Place all ingredients in a pyrex measuring cup and place in the microwave. Microwave for 30 seconds to one minute, until butter is just melted. Stir together before using.