The list of schools that are loan-free for all students is rather slim, as even some of the Ivies cap loan-free financial aid at a set income (e.g. $60,000 at Cornell). UNC naturally can’t match the generosity of the wealthiest private universities, but it does offer loan-free financial aid to families with incomes meeting the Carolina Covenant criteria (<$48,500 for a family of 4 and <$56,820 for a family of 5).
@Chembiodad - Thanks for the clarification.