Yes, definitely come. There is a camp for kids with disabilities run by one of the NASCAR drivers, Richard Petty. It is great. From what I have read about it and heard, the kids love it.
If I had the chance to move with my grandchild I would in a heart beat. Unfortunately ours are in the military and it isn't possible to move with them everytime. We got lucky this time and they are only in Georgia. Not as far as Germany was.
NC is a great place, mountains, beach. We have it all. Great hospitals UNC, Chapel Hill, Duke in Durham, where I work.
good luck with your decision. It will definitely be a change from Vermont but I think you will like it here.