In a large bowl, add the cream cheese, cheddar cheese, buffalo wing sauce, ranch seasoning, green onions, and optional blue cheese.
With an electric hand mixer, mix together until smooth and combined.
Next add the cooked chicken.
Fold the chicken in until combined with the mixture.
On a clean work surface lay down a tortilla. Take ¼ of the chicken mixture and spread it evenly on the tortilla, leaving about a ½ inch border.
Tightly roll the tortilla to form a long log. Repeat with the remaining tortillas/filling.
Wrap the tortillas tightly in plastic wrap, folding the ends of the plastic wrap under. Place in the refrigerator for at least 2-4 hours to set up.
Remove from the refrigerator, unwrap the pinwheels from the plastic wrap and cut into ½-inch slices, serve with ranch dressing for dipping, if desired.