Yeah, I agree with Dan.
That said, we have helped people with Icecast before and you can search this forum. It has been difficult but I believe at least one person got Icecast with HTTPS to work. The Icecast site (link here) would be best for where you are in your research
As one example thread here
It's a good starting post in that thread as it mentions about radio support. But the more interesting bits are later.