Where in NC makes a huge difference in what will be viable. We have very different soils depending on region. The biggest adjustment will be dealing with our notorious humidity.
Welcome to NC Sharon!
All of your listed favorites should do fine. I personally have trouble with anything in the salvia family but my neighbors don't, I just have a knack for killing sages. My delosperma can guickly be overgrown by more vigorous growers as it's spread slows as the weather warms up so give it plenty of room. Sempervivum likes it here a remains trouble free.