Mute it? I don't know about you, but I'm interested in the picks - not the talking heads, regardless of which talking heads. Mute it, and just keep an eye on the screen (either TV or a computer monitor), while getting something else done at the same time.
It's not like the old conference call draft, where you needed to pay attention. MLB has stretched the draft to three days, but (given there are only 20 rounds) there's about half as much information as there was in the "good old days." The rest is just noise (erm, 'entertainment,' if you prefer).
I'll watch for a few minutes, assess how long it will be until the Phils' pick, and then probably go do something else for a while.