Hey, Alan ...
If you want to carry a type of arm that was often found in the hands of common men from North Carolina who mustered out to fight in the Revolution, then a plain fowling piece of the type manufactured for colonial sale by the Birmingham, England small arms trade is very appropriate.
A very good example is offered by a nice guy named Jim Chambers, a noted expert in such matters:
http://www.flintlocks.com/rifles05.htm
Longrifles were far less common in early colonial settlements than is commonly represented. Both gunsmiths and parts were in short supply, and they were far more expensive to manufacture and purchase than was the widely available fowling piece, which was the colonial equivalent of a working shotgun in that day.
Fowling pieces were much more versatile and useful to colonists ... they could be loaded with ball or shot, used on game big or small, furred or feathered, and on men too ... and were of better manufacture than most military muskets. A look at the rosters of many NC militias shows that lots of men arrived for duty carrying their personal fowlers. Another thing to remember is that very many men couldn't see well enough to effectively use a rifle. Poor eyesight was just as common then ... but glasses weren't.
I have a hand-assembled fowler like the one in the link above. It is a superb piece, and exactly like what was most often found in rural NC homes around 1760-80.
Chamber's English Fowler / Officer's Fusil is a perfect example of what many East Carolina men used in the early days of their militia service, before many arms were issued. The parts do need to be assembled and finished without engraving or carving, though, in order to represent a common gun rather than a gentleman's piece.
Jim is a Carolina boy, and is one fine gentleman who can help you find someone to assemble one of his kits, if you don't want to do it yourself ... a really top-notch guy. It was his expertise in this very area of study that led me to choose this fowler for myself ... it was his recommendation, and not just because he sells them! He's not that sort.
His kits are unexcelled, in quality and authenticity.
I share your interest in this period and it's equipment. If you like, PM me and tell me where you hail from, and I'll do likewise!
Adam