Your duties/job description makes you an employee by any reasonable measure, not an IC.
Nonetheless, there is no law anywhere in the country that states -- even as an employee -- you must be paid an hourly rate for your time on property.
Your total compensation (which includes tips in most states) must equal or exceed Minimum Wage for your state * Hours at the job site. how they get there is between you and them, but that is their only legal responsibility to any employee.
Smithers: "Sir, I'm afraid we have a bad image, people see you as a bit of an ogre." Mr.Burns: "I ought to club them and eat their bones!"