I already have an existing ASP application working on an IIS 6.0
server. I would like my WebPart to navigate to the asp page that I
currently have working. For the example below I'm using "cnn.com" as
the URL that I would like to go to. The RenderWebPart method below
gets an error when the SharePoint site is refreshed.

this.Context.Server.Transfer("http://www.cnn.com" target="_blank" rel="nofollow">http://www.cnn.com");

I also tried using the Redirect method from the response object. This
code actually worked but the entire browser was redirected to CNN
instead of into the WebPart. This code is below.

this.Context.Response.Redirect("http://www.cnn.com" target="_blank" rel="nofollow">http://www.cnn.com");