As Alexandre pointed out, UNC Chapel Hill does not offer engineering.* North Carolina divides many programs between UNC Chapel Hill and NC State – which are in some ways dual flagships – and engineering programs are solely at the latter institution.
*BME is the one exception, but that is an offshoot of applied science at UNC rather than part of a traditional engineering school.
Chapel Hill and Carrboro make up an excellent college town and in no way feel like a large city. Raleigh and Durham are easily accessible by bus or car, but Chapel Hill feels fairly self-contained.
I second all of the above.
@mom2collegekids is incorrect – UNC offers the Robertson scholarship (a full ride scholarship), and students from Australia and NZ have specially reserved slots in the program. You’re a perfectly strong contender with your stats.
http://robertsonscholars.org/apply/international/
https://scholarships.online.unsw.edu.au/scholarship/sc_al_search_detail.display_scholarship_details?p_scholarship_specific_id=607