I tend to just listen to the podcast with the embedded player directly on the website. As I am listening I like to follow the links in the breakdown of the cast below the player.
My suggestion would be to have these links launch in a new window instead of using the window that the amp hour is taking place in. If I remember, I can right click and launch in a new window but maybe its possible to make it do this by default? I don't know much about web stuff, its just a thought.