In a small saucepan, combine water, 1 cup sugar, and basil together over medium heat. Simmer until sugar completely dissolves to make basil simple syrup. Remove from heat and let basil steep for 20-30 minutes. Remove basil.
To make simple syrup, in a medium bowl, combine strawberries, Texas Pete Dust Dry Seasoning, 1 cup sugar, and lemon juice. Let sit until basil is done steeping.
In a blender, combine syrup, strawberry mixture, 3 cups water, and ice. Blend until smooth.