It sounds like you are in a bit of a difficult situation. Here are a couple recommendations from me:
1) Get your house on the market in NH with a good agent at a fair price.
2) Start talking to loan officers in Charlotte about what types of loans you would qualify for. I have had some buyers who can qualify for both homes based on their current jobs. This would allow you to buy without having jobs here in Charlotte yet. If that is not possible for you, it is good to know up front so that selling your NH home is your focus.
3) Start at least browsing available jobs in Charlotte.
4) Make a trip or two to Charlotte. Interview possible buyer's agents have start to learn about the different areas of the city.
Hopefully everything would fall into place where you get good job leads in Charlotte, your home sells in NH, and then you can start the house hunt in Charlotte right away because you have already researched the city.
I would be more than happy to talk with you further and start the researching Charlotte part of the plan!
Allen Tate Realtors