A Kibler Woodsrunner or Colonial would fit the criteria.
The history of the Gulf Region is absolutely fascinating. Daniel Boone explored and considered settling in the Gulf region in the 1760s before he went through the Gap into Kentucky. Rebecca Boone absolutely refused.
There is a rifle culture in the Gulf at the times mentioned.
Many who located there were displaced Loyalists.
It’s really to big to get into in one post.
Again, Woodsrunner, Colonial or any 18th Century PA, Virginia or Southern type would be correct for the region.
Remember there were New Orleans riflemen at the Battle of New Orleans, 1815.
One rifle survived, it is a Sheetz Virginia rifle.