Private colleges have one tuition. Public colleges will have in-state and out-of-state tuition, and you would be out-of-state in most cases since in-state is given to those who pay state taxes. Specific questions should be directed to the college.
Where your US citizenship is important is for the application and for financial aid. As a US citizen, you will not be subject to any international cap the college may have and you would be eligible for federal funds.