Make the creamy cilantro lime white bean spread by blending the cannellini beans, lime juice, lime zest, cilantro, garlic, and salt until mostly smooth.
Warm the BBQ chicken if needed.
Spread about ⅓ cup of the white bean mixture over each tortilla.
Top with ½ cup BBQ chicken and about ⅜ cup shredded Colby Jack cheese.
Fold in the sides and roll tightly into a burrito.
Heat a nonstick skillet over medium heat. Lightly coat with cooking spray.
Cook each wrap for 3–4 minutes per side, pressing gently with a spatula until golden brown and crispy and the cheese is melted.
Slice in half and serve with extra BBQ sauce or cilantro lime crema, if desired.