Bring a large pot of water to a boil. Add the chicken tenders and boil until cooked through, about 10 minutes, then transfer to a cutting board and chop finely.
Add chopped chicken, refried beans, cream cheese, monterey jack cheese, cheddar cheese, diced green chiles, salt, cumin, and ground red cayenne pepper to a large bowl. Stir until thoroughly combined, then set aside.
Preheat the oven to 350 degrees, then make the taco shells. Using a 3-inch diameter biscuit/cookie cutter (or stencil), cut out small rounds from the flour tortillas. You should be able to get 8 or 9 tiny tortillas from each burrito-size tortilla. Set aside.*
Fold the tiny tortillas gently in half to form a taco shell shape, then position them upright in a loaf pan or brownie pan (something with edges). Fit them in closely together so that they support each other and hold their shape. Bake for about 10 minutes, or until lightly crisped.
Remove tiny taco shells from the oven and let them cool for at least 10 minutes, or until you can safely handle them. Then spread the filling into each tiny taco shell, being careful not to over-fill them.
Bake tiny tacos for 8-10 minutes, or until warmed through.
Let cool at least 2 minutes before serving with dipping trio. Optionally garnish with sliced scallions.