It's on the Virginia Sports (Radio) Network, at least some affiliates
and has been that way forever going back to the original Chuck Noe days, long before Facebook was a gleam in Zuckerberg's eye, so I agree that the show should be better promoted/distributed online by virginiasports.com. I'm not a big fan of Facebook (although I have an account), so I tend to just listen to the WINA stream via TuneIn on my phone, but will watch the Facebook "archive" if I miss the live show or parts of it. As mentioned by Seattle Hoo on this thread, I don't understand why it's not available (at least archived shows) on virginiasportstv.com.
It looks like you can still access the "Cavaliers All-Access" (live and archived audio) site (from virginiasports.com, go to Multimedia -> Listen Live/Archives); I found archive links to Coach's Corner through last week, but at least the last couple of those seem to be recordings of 3WV (which airs games when women's hoops or other UVa sports are on WINA), so that's not reliable.