Are there any frameworks that assist me with this: (thinking that perhaps StructureMap can help me)
Whenever I create a new instance of "MyClass" or any other class that inherits from IMyInterface I want all properties decorated with [MyPropertyAttribute] to be populated with values from a database or some other data storage using the property Name in the attribute.
public class MyClass : IMyInterface
{
    [MyPropertyAttribute("foo")]
    public string Foo { get; set; }
}
[AttributeUsage(AttributeTargets.Property)]
public sealed class MyPropertyAttribute : System.Attribute
{
    public string Name
    {
        get;
        private set;
    }
    public MyPropertyAttribute(string name)
    {
        Name = name;
    }
}