Get a low-medium fire going.
In a medium bowl, combine the cornmeal, flour, cheese, baking powder, and salt. Set aside.
Melt the butter in a 9" cast iron skillet or Dutch oven. Add the chopped jalapenos, cook until jalapenos are soft.
Remove pan from heat.
Use a slotted spoon to remove the jalapenos from the pan, add to the bowl of dry ingredients, along with 2 tablespoon of the melted butter from the pan.
In a small bowl, combine milk, honey, and eggs. (You can shake these together in a medium mason jar). Add to the bowl of cornbread batter ingredients, stir until just combined.
Swirl the butter to coat the pan, then spread the cornbread batter in the pan.
Tightly cover the skillet with foil, return to the grill. (If using a dutch oven, just cover it with the lid.)
Cook for about 15 minutes (20 if your fire is really low), then remove from heat.
WITHOUT removing the foil or lid, allow the cornbread to continue cooking in the pan for another 5 minutes. (This lets it cook through, without burning!).
Uncover the cornbread, slice and serve.