2 considerations with UNC: if you are OOS for UNC and get in , you are probably going to get some scholarship, maybe even one of the big ones from Emory. Second, if you get into both and the economics are similar due to a scholarship from Emory, take a serious look at the resources of the two schools. I never understood why one would pay the money for a place like Emory until I vistied both with D and saw that the resources of a private with a huge endowment vs. a public that has to battle for money every year is evident throughout the campus.
D loved UNC and if she hadn't gotten a scholarship from Emory might have ended up there over UVA. They are both great schools, if the dollars are the same, however, I think Emory wins unless UNC has something specific to you that Emory doesn't offer. You won't go wrong with either school.