Visual Studio Project Creation Problems

I'm an experienced ASP programmer, but new to .Net (and to this forum), and as of now, I have decided to take it slowly. I am self employed and cannot afford to go over all the migration issues from my current application. Therefore, I'm trying to work with Visual Studio .NET meanwhile, get to know it better, and then switch gradually.

My only problem is, how do I get VS to work with an existing ASP project without any problems? If I start a new empty solution, then add a project, it will prompt for a project type. "Empty web project" type will force me to add a project named "WebProject1", which I don't want, and will create a virtual directory with that name. It will not allow me to choose the actual directory where the current project exists, and add the files in there automatically (and put them in their sub-folders).

If I choose "New project in existing folder", it will also not add the files automatically.

I am trying to create a working environment where I can, under one solution, manage a few projects that I have which are all based on the same application (this applications "upgrades" from version to version, meaning with each project I complete it's more advanced). Up to now, I just used to have a folder c:\projects, and copy-paste the latest project in that folder to create a new one, which I will then modify accordingly. I cannot seem to find a reasonable way to do it on VS.

A lot of thanks to someone who would be kind enough to make some order in this mess. I could not find answers in the internet or in documentation.