Went to check my books. Judging from your last description, it sounds like cylindricity is what you need.
Here's an example: You have a shaft of Ø10 ±0.5. You need outer surface to vary only within 0.1 band, but the size tolerance is larger. Applying a cylindricity of 0.1 would accomplish this. Your size tolerance is large, but the amount of variation along the entire length of your cylinder is restricted, i.e. you could allow variance of Ø9.7 to Ø9.9 or Ø10.3 to Ø10.5, but you could not allow variance larger, like Ø9.7 to Ø10.3.
In application, cylindricity is a little more involved, but it accomplishes your goal. You may still be able to use runout in a similar fashion, but keep in mind that there are differences.