Set up grill for direct cooking over medium heat. Oil grate when ready to start cooking.
In a mixing bowl, combine softened butter, cream cheese, sugar, and almond extract. Beat with hand mixer on low speed until smooth and creamy. Set aside.
Combine honey and water in a small bowl. Stir until honey is dissolved. Set aside.
Unroll pizza dough onto hot oiled grill. Cook for 4 minutes on each side. (TIP: use a cookie sheet as a big spatula when flipping the crust and removing from grill.) Brush with honey mixture and cook for 2 minutes more. Remove crust from grill. Spread with cream cheese mixture and arrange fruit on top.
INDOOR: Preheat oven to 425 degrees F. Lightly spray baking sheet with cooking spray; set aside. Carefully unroll dough and place on prepared baking sheet. Press out dough with fingers to form 13 by 9-inch rectangle. Brush dough with honey mixture and bake in preheated oven for 8 to 10 minutes or until crust turns golden brown. Remove crust from oven and top as directed.