grpc: ASP.NET web site (not regular project) fails to find gRPC native binaries

Platform: Windows
gRPC: 1.6.0
.NET: 4.6.1
Prerequisites: VS2017 with web development installed (not just regular ASP.NET)

Repro:

• Start VS2017

• From the File / New menu, pick Web Site (not Project), and target .NET 4.6.1 (although I doubt that the version matters much)

• Use “Manage NuGet packages” to add Grpc.Core

• Add a new web form (default.aspx)

• In the codebehind (default.aspx.cs) in the Page_Load method, add a single line:

     var channel = new Channel("localhost:8001", ChannelCredentials.Insecure);
  

• Run the app

It will fail when it can’t load the native library, which won’t have been copied to the bin directory.

I know very little about “web site” projects, unfortunately - there’s no project file, just a packages.config.