Well, the Road Rocket in standard trim came with a #6 cutaway. If I were you, I would try that slide and if it doesn't work, get a #4 cutaway, which will likely be rich and then tune by increasing the cutaway until you get the right mixture. You can get 1/2 cutaways this way, too, though the GP and TT cutaways are already incremented by smaller amounts than the standard carb series.
Thanks for that, good advice! my existing #6 slide is fairly worn so I may investigate if I can make economic repair to it, having said that still good to test mixture.