Juice the lime to yield about 1 tablespoon of lime juice and set aside.
Preheat the oven to 425°F (218°C). Lightly spray a large baking sheet with cooking spray and set aside.
Finely dice 4 chipotle peppers; reserve about half of the diced peppers for the dip.
In a mixing bowl, beat the softened cream cheese and sour cream with a hand mixer until smooth. Add 2 of the diced chipotles, 1/2 tablespoon adobo sauce, garlic powder, onion powder, cumin, chili powder, salt, pepper, and the lime juice; beat until well combined.
Stir in the shredded cheddar, Monterey Jack, and shredded cooked chicken until evenly combined.
If using corn tortillas, place 2–3 tortillas between damp paper towels and microwave 15–20 seconds to make them pliable.
Spoon 2–3 tablespoons of filling onto each tortilla, roll tightly, and place seam-side down on the prepared baking sheet. Repeat with remaining tortillas and filling.
Spray the assembled taquitos generously with cooking spray and bake for 10–15 minutes, until the edges are crisp and lightly browned.
Remove from the oven and serve hot with desired toppings.
To make the chipotle ranch dip, stir the remaining 2–3 finely diced chipotles into the ranch veggie dip.