What class should manage/control the CALayers in my view using proper MVC?

Question

I have a ViewController with a view (UIView). I need to handle touches, run some logic, check against model data, and and add and remove sublayers to the view based on those touches. Then I need to update the model based on the results.

Should I have:

ViewController - manage touches, get/set model data, add/remove sublayers
  UIView
    CALayer
      Sublayers

or

Controller (NSObject) - get/set data
  ViewController - manage touches, add/remove sublayers
    UIView
      CALayer
        Sublayers

or

Controller (NSObject) - get/set data
    CustomView  - manage touches, add/remove sublayers
      CALayer
        Sublayers

Or is it something else all together? No matter what I try, it "feels" awkward. SVN is my friend.

Can you guys help a girl (with architectural issues) out?