Answer: Using the 27203 zip code for Asheboro, it seems your new location will be in USDA winter hardiness zone 7A or the coldest part of zone 7. Depending on the microclimate where you plant, it might actually be as cold as zone 6, especially if it is in a rural area outside of town or if it is an exposed, windy location. So, although you are moving southward, you will still be in a relatively cold winter area.
The good news is you do not need a companion fig in order to get fruit. But, you will need to plant your fig in a sheltered location. Whether or not you will need to provide extra winter protection beyond mulch and possibly a windbreak will depend on what specific variety of fig you have. (Some are more cold tolerant than others.)
Here is some detailed information on growing figs at home that you may find useful. It was developed for Tennessee but is highly applicable to your location as well. You may need to cut and paste the complete url into your browser to make it work correctly.
Good luck with your fig harvest and enjoy your new home and garden!
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