Given things like Plume and Funkwhale exist, it seems like there should be something out that that would let you host a podcast and have it federate using ActivityPub or something. Tomorrow I'm going to dig a bit deeper into this and figure out a way to do it, for sure.
Failing that, there's always Wordpress and RSS, though.
@earfolds We have plans to support podcasts in Funkwhale, it's just not implemented yet :)
earfolds.com is one server in the network