Preheat oven to 375 F.
Line cupcake tray with non-stick liners.
In a large bowl, mix together flour, cornmeal, baking soda and salt.
In another bowl, whisk together whipping cream, melted butter, sugar, eggs and honey.
Pour mixture over the flour mix and stir using a rubber spatula just until moist.
Gently toss in diced jalapeños and cheese.
Scoop the batter evenly into the muffin tray.
Bake muffins for 15-17 minutes.