There are several apartment complexes within easy walking distance of UNCC and with good access to public transportation. I lived in Walden Court Apartments off of J.W. Clay for 2 years. It is directly across N. Tryon street from the back entrance of UNCC. Takes about 15-20 minutes to walk to the center of campus. Or about 5 minutes to walk to the campus shuttle. (Crossing N. Tryon can be intimidating at first, Is she a good sprinter?
At the time (2005), a 2 bedroom there was renting for about 700/month. You're also within walking distance of a Bloom grocery store, Starbucks, and The Shoppes at University Place, which has a few nice bars, restaurants. The 11 bus, which takes you into downtown, the 80X, which takes you straight downtown with no stops during rush hour, and the less frequent 29, which takes you to South Park Mall. Other complexes in that area include Lakeshore Village (these are condos, but are rented out sometimes for $900 to $1000/month(a lil nicer than Walden Court); There's also a complex near Paradise Valley 3-par golf course on the other side of Bloom, but the name escapes me. That's the Tryon side of campus.
The University City Boulevard side of campus has a few places as well. It would be a bit shorter walk to the center of campus and a bit cheaper, but the area has been known to be less safe. Muggings, armed robberies are occassional, car break-ins common. If you choose this area, avoid University Terrace at all costs, it has a very bad reputation.