Won't work. Even if you try this they will catch up with you.
First, the refusal suspension is one of the things that the DLC (which NY and NC both subscribe to) requires reciprocity. If you refuse in NC, your NY license MUST be suspended.
Second, even if it wasn't suspended under the DLC, you're still not allowed to drive in NC while suspended there, even with a valid NY license. Further, with a NC suspension active, you'll not be able to renew your NY license (it will catch up with you).

