Preheat oven to 250°F and place a baking sheet inside it.
Melt butter. Add poblano and honey and stir to combine. Set aside to cool.
Meanwhile, whisk together flour,
cornmeal, baking powder, baking soda, and salt. Add scallions and
cilantro and fold together to distribute and coat in the dry mixture.
In a second bowl, whisk 4 eggs and buttermilk. Add butter mixture and whisk together.
Add wet mixture to dry and stir together gently until just combined. Fold in the cheese.
Place a griddle or skillet over medium
heat and film with oil. Using a 1/4 cup measure, dot with batter. Cook
pancakes until they are golden underneath and dotted with bubbles. Flip
and cook second sides. Repeat, adding more oil as necessary, and
stashing finished pancakes in oven until all batter is cooked.
Fry remaining eggs. Serve pancakes topped with eggs and additional cilantro, if desired.
