If you are interested in the North Raleigh area, I would suggest you check out Falls River and Bedford developments located just off Falls of The Neuse Road North of I-540. They have homes in various price ranges, but usually have some styles that hover around the $250K mark. If you are looking for a more established neighborhood try checking out Durant Trails. It is in the same vicinity as the previous two.
There are many others, but I'm sure a realtor can better point you in the right direction. If you can be specific in what you are looking for, they can really help narrow it down so you make the most of your time here. Some areas of North Raleigh can be a bit pricey, but $250K still gives you some great options. Good luck!