.NET Core RC 2, ASP.NET Core RC 2 and even .NET Core SDK are available for download. I have tested if it work with Visual Studio Code and… It works great!!!
You should not use any dnx/think about available runtimes and select between mono and coreclr/understand what is dotnet package manager and so on. You can simply install .NET Core and start creating your ASP.NET applications.
My updated video about VS Code and ASP.NET is here:
And couple new videos in the series (about Express and Cordova tools):