I manipulate fields inside the constructor. Fields really represent the inherent state of your object, and the constructor job is to initialize this internal state. Properties are just here for encapsulation purpose, and are a part of the public interface to the object state.
The transformation logic you apply to the constructor arguments or to the properties input values before setting the internal state of the object could be very different. Anyway, if it is the case, I used to use an explicit transformation method called from the property setter and from the constructor, instead of directly chaining constructor on the property setter.
If there is no logic at all, I can't see why you would like to use property setter inside constructor.