Combine the Cajun season and pepper; rub over the inside and outside of the hens. Tie the legs together. Place flour in a large, heavy duty, zip-top plastic bag. Add the hens one at a time; shake to coat.
Pour oil to a depth of 4 inches into the deep pot of a propane cooker; heat to 350°F.
Carefully lower the hens in the oil; fry for 18 to 20 minutes or until the meat thermometer inserted in the thickest part of the breast reads 180°F.
Remove the hens from oil and drain on paper towels. Remove string before serving.