I\'m getting started on Map Kit for my job and I have a IOS project I am working on where it involves Map Kit, I know how to search for a location and pin point it but my is
Use Google Places API for this.
You can go for a Radar or NearbyPlaces search and get zip codes of the returned places (you can use a custom location and set the radius for your search as you are wishing to do).
There is a really good iOS library for querying Google Places API which is FTGooglePlacesAPI
Eventually you can also do everything manually using
NSData* data = [NSData dataWithContentsOfURL:YOUR-googleRequestURL];
and handling the fetched data.