Hi Tim - this is sort of long, but bear with me...
Take at look at some of the North Carolina rifles in the ALR virtual museum. Also, take a look at Mel Hankla's "American Historic Services" website. That shows a few NC rifles made around 1800-1820 as well as some Rev. War era rifles that appear to at least be southern, if not from North Carolina. There are also features on the House Brothers raffle gun and on Hershel and Frank House. When you look through all these you will see where Hershel and Frank got some of their influences as well as their artistic interpretation, which is what Frank's "Patriot" rifle really was.
It looks like Pecatonica's kit is a real nice stock profile, but is based on a 1790s-1820 era rifle based on the lines and the butt width. There is thought by some that on southern guns in general, slightly narrower butts were becoming popular a bit earlier than on Pennsylvania guns, but not in the pre-Rev War period.
Not sure which lock you went with - looks like they offer Durs Egg or Siler inlet. The Siler would be an earlier style lock than the Durs Egg but both were around by the 1790s.
To my knowledge no known documented North Carolina-made rifles from the 1750-1780 period have come to light yet. That is, no signed rifles by makers whom we have records of working in North Carolina in the 1750-1780 period, that appear to clearly date from that timeframe. However, there are a few unsigned pieces that have family histories and at least a possibility of being made in North Carolina - Sam Everly posted some photos of a plain rifle with a history of being used in western North Carolina during the frontier era - as I recall, it was sort of a "smooth rifle" and a simple utilitarian working gun.
We do know that rifles were being made in North Carolina before and during the Revolution - the Moravians at Salem and nearby settlements, the Moore and Kennedy families, Etc. Sadly, we don't have signed pieces from these makers in that timeframe. Hypothetically, you can suppose that pieces made by the Moravian smiths would have had strong German influences similar to the Moravian gunmakers' work in Pennsylvania during that timeframe - wide butts, stepped wrists, Germanic style locks (or not given that the routes of trade were different in the south), and maybe German influenced hardware. There has been discussion among some about the possibility that some of the pieces attributed to Christians Spring might have actually been made in Moravian North Carolina - if you do a search of the archives about "RCA 42" you will find a ton of stuff.
The "Patriot" rifle was a concept piece that Frank House came up with. In the Woodbury (contemporary) style that the House brothers developed, it is a blend of influences from a number of early rifles believed to be southern, and a bit of devolved features that crop up on later iron and brass mounted southern pieces. The current House Brothers raffle gun is another example of this, as is the rifle featured in last month's Muzzle Blasts. Frank has made a number of similar pieces that he sometimes loosely refers to as "Watauga" style rifles, since they incorporate features that crop up on some surviving pieces that have ties to pioneers in the area near SW Virginia, Western North Carolina, and East Tennessee and show the influences of features from several nearby areas. Features such as the captured lid patchboxes are examples of this style. Hypothetically, you might have seen a similar rifle made in North Carolina during the period, but the Patriot rifle was really Frank's artistic vision of a piece that could have been made in that time and place, rather than a copy of a documented piece.
So..........that still does not answer your question, but if it were me, I'd make something akin to an 1800-1810 period North Carolina rifle with that stock. They were some of most sleek, slender graceful longrifles I've seen. If you did not get the hardware with the kit, I'd consider maybe using some different hardware for it.
Good luck!
Guy