This is internet radio, although it's certainly possible to port ham radio to an internet radio config (albeit hard). I made a configuration guide located at http://radio-registry.i2p/config-guide for you and others to help set up a radio station on I2p if you want.

Hosting any service on I2P is pretty straightforward, just run it on localhost and create an I2P server tunnel pointing to that port. Works with web servers, APIs, anything. The guide covers the radio-specific parts but the I2P tunnel setup applies to any service, it's not as hard as you might think.