If you really don’t need financial aid then don’t apply for it. Only a handful of colleges are need-blind for internationals; most are need-aware meaning that your financial is a factor in admissions. At many schools your chance of admission is better if you don’t apply for financial aid.
Consider this issue carefully, though. If you actually do need financial aid, then apply for it as a first year. In most cases, internationals will not be eligible for aid in later years if they don’t apply for it as first years.