Well, I only have a Technician Class license (bottom of three), but it's enough that I have an understanding of what's possible.
The two worlds--broadcast radio and internet--are well entwined now. Much as there's VOIP or AoIP, there's what you might call RoIP, and it's gaining popularity.
Radio can be a wonderful conceptual space to play in. The problem, as I see it, are the restrictions on conduct and what's actually permitted. Strictly speaking, it would be illegal to broadcast a purely musical performance, but the things I'm kind of thinking about aren't really about concerts per se; more something a little more conceptual; a little more on the side of an art installation. It also integrates with locations I'm fascinated with that are remote, generally inaccessible to the average person, and sometimes require technical skill to gain; the idea is to connect one or two of these geographic locations with other fairly distant locations--long story. May never happen.
It would all probably be technically illegal, but the FCC and other agencies (i.e., ARRL) have bigger things to worry about on air than what some weirdo art guy is doing on some remote frequency.
Shortwave gets really interesting: you can reach people on literally the other side of the globe.
Even cooler: you can do it from a tiny, battery-powered remote rig sitting in the middle of nowhere...if you know what you're doing...which I don't...but it's possible.
Morse code, or "CW" as it's more commonly referred to, abstracts the whole thing. I suppose people interested in coding might find it somewhat fruitful, at least conceptually.