Mapping private properties with EF via conventions

AppContext.cs

using System;
using System.Collections.Generic;
using System.ComponentModel.DataAnnotations.Schema;
using System.Data.Entity;
using System.Data.Entity.ModelConfiguration.Conventions;
using System.Linq;
using System.Reflection;

namespace ConsoleApplication1.Model
{
    public class ApplicationDbContext : DbContext
    {
        public ApplicationDbContext() : base("TestDb") { }

        public IDbSet<User> Users { get; set; }

        public IDbSet<Country> Countries { get; set; }

        public static void SetInitializer()
        {
            Database.SetInitializer(new DropAlways());
        }

        protected override void OnModelCreating(DbModelBuilder modelBuilder)
        {
            base.OnModelCreating(modelBuilder);
            modelBuilder.Conventions.Add(new NonPublicColumnAttributeConvention());
        }
    }

    public class NonPublicColumnAttributeConvention : Convention
    {

        public NonPublicColumnAttributeConvention()
        {
            Types().Having(NonPublicProperties)
                .Configure((config, properties) =>
                           {
                               foreach (PropertyInfo prop in properties)
                               {
                                   config.Property(prop);
                               }
                           });
        }
        private static IEnumerable<PropertyInfo> NonPublicProperties(Type type)
        {
            var matchingProperties = type.GetProperties(BindingFlags.SetProperty | BindingFlags.GetProperty | BindingFlags.NonPublic | BindingFlags.Instance)
                                         .Where(propInfo => propInfo.GetCustomAttributes(typeof(ColumnAttribute), true).Length > 0)
                                         .ToArray();
            return matchingProperties.Length == 0 ? null : matchingProperties;
        }
    }

    public class DropAlways : DropCreateDatabaseAlways<ApplicationDbContext>
    {
        protected override void Seed(ApplicationDbContext context)
        {
            context.Countries.Add(new Country("Colombia", "co"));
            base.Seed(context);
        }
    }
}