Ty,
Sorry but approx 8" outside to outside is the smallest die I have for now. The dies, unfortunately, are very expensive and it is not cost effective for me at this time to purchase a die for making just one loop.
Just a thought, but if all else fails and you can't find anyone with that small of a die, you could purchase a 8" loop and cut out an approx 1" section from the center of the loop and re-weld the loop together. Good luck with your build.