Will you be working normal business hours? If so, Raleigh has a unique reverse commute, that being said, getting from Downtown Durham to RDU in the morning will not be that bad, well I guess it is relative as it depends on what kind of traffic you are used to.
Brier Creek has a lot of good options and will make your drive to RDU very easy.
West Village in Durham: http://www.bellapartmentliving.com/nc/raleigh/west-village/
is probably the closest thing you are looking for. The prices range from 1100 and up.
There are single family homes you can find as well if that is something you would be interested in.
http://www.bellapartmentliving.com/NC/Raleigh/Park-and-Market/ is a complex in North Raleigh, there are enough back roads and cut throughs that the longest your commute will be is 20 minutes.