Walk from Attribute to CustomAttributeData or backwards

Question. Is there a way to get an instance of CustomAttributeData based on the given instance of my custom attribute, say, MyAttribute? Or vice versa?

Why do I need this? The instance of MyAttribute contains properties I am interested in, while the instance of CustomAttributeData contains actual constructor parameters I am interested in. So now I implement double work: first, get the instance of MyAttribute by calling

Attribute.GetCustomAttribute(property, typeof(MyAttribute)) as MyAttribute

, and second, get the instance of CustomAttributeData by calling

CustomAttributeData.GetCustomAttributes(property)

and walking over this collection.

P. S. I have taken a look on this question, but didn't find the desired solution there.