Check out North Haven Child Development Center at 6620 Six Forks Road. With a lower teacher:child ratio this one might work for you.
I DO have some good experience and knowledge of this center as my wife has been director there for 18 years. The center has an excellent reputation which can be checked thru the local office of Child Care and Resource Referrals. If you have any questions, you can call me at 919-906-8865 or You can call Vickie directly at 919-848-4834.
Just asked my clients that have a little girl the same age as yours. Here is their response....
A.E. Finley YMCA on Six Forks Road and I-540. Itâ€™s only 3 hours a day for 3 days a week but next year it will be 4 days a week for 3 hours a day. Itâ€™s a great place and she loves it. They do so many things there with the kids and they provide status reports to us on her progress. Since she is in the 3-4 year old group they get to swim on Fridays and they have a Spanish teacher come in some during the week to teach them Spanish.
I hope that this helps! Please let me know if there is anything else that I can help you with.