Dave, I have and continue to use the EDGE all the way down to their 1/16" wide. It is an extremely thin mylar tape that will to as you wish. I have used the 1/4" for the curves you indicate and they become fun to do. Just make sure the edge to the paint is indeed adhering, and don't worry much about the inner portion. I suggest you lap over the tape upon itself some 1/2" at the beginning end as it is a PITA to begin the pull off when you do not need another thing to consider . You could call them...you will find them friendly and they will ship right away. And when doing a really long line you can pull some as you go. ...but remember to leave something to pull as you go. I think you will find the paint line will be very thin and the edge should be clean as a whistle.
Good luck and PATIENCE, PATIENCE, PATIENCE....Oh, and keep the rolls flat and covered as the mylar is so thin the roll will follow gravity when it can....and before you start laying the line check the edge of the roll and make sure there are no hardly- visible machining burrs at the edge of the roll. I have found very few, but they can be there and another PITA when you are painting the line.