Start IIS Express from Here and open the browser

RegisterStartIISExpress.reg

Windows Registry Editor Version 5.00

[HKEY_LOCAL_MACHINE\SOFTWARE\Classes\Directory\shell\IISExpress]
@="IIS Express Here"

[HKEY_LOCAL_MACHINE\SOFTWARE\Classes\Directory\shell\IISExpress\command]
@="D:\\Bin\\StartIISExpress.exe %V"

[HKEY_CLASSES_ROOT\Directory\Background\shell\IISExpress]
@="IIS Express Here"

[HKEY_CLASSES_ROOT\Directory\Background\shell\IISExpress\command] 
@="D:\\Bin\\StartIISExpress.exe %V"

StartIISExpress.cs

using System;
using System.Diagnostics;
using System.Threading;

namespace StartIISExpress
{
    class Program
    {
        static void Main(string[] args)
        {
            var path = args.Length > 0 ? args[0] : Environment.CurrentDirectory;
            var rnd = new Random();
            var port = rnd.Next(1024, 65535);

            var psi = new ProcessStartInfo
            {
                WorkingDirectory = "C:\\Program Files (x86)\\IIS Express",
                FileName = "iisexpress.exe",
                Arguments = $"/port:{port} /path:\"{path}\"",
                UseShellExecute = true
            };

            Process.Start(psi);
            Thread.Sleep(500);
            Process.Start($"http://localhost:{port}");
        }
    }
}