Directions. 1  In a heavy-bottom 4-quart pot, heat butter and olive oil over medium heat. Saute leeks 5-7 minutes, until tender. 2  Add cucumber and chicken stock. Simmer until cucumber is softened (about 6-8 minutes). 3  Pour small batches of cucumber soup into a blender and puree until smooth.
Grill for 5-10 minutes, depending on how hot the grill is (you do not want the chicken to burn). Once you have a good sear on one side, move the chicken pieces to the cooler side of the grill.
If you are using a beer you can add about 1 tablespoon of Texas BBQ Rub to the beer. Get the Italian dressing with Texas BBQ Rub mixed with it under the skin of the bird. Stick the can up in the cavity of the chicken and carefully balance the can on your pit. Cook for approximately 4 to 5 hours at 225 degrees.