When you are doing something you hate so much that you would rather have a goat penis stuck in your mouth. Or when you totally screw something up.
When Travis asked Jeremy "How do you like your new job", Jeremy replied " i'd rather be blowing
When Jeremy asked Travis "How did your test go", Travis said" I really blew
the goat on that one"
After spending the day with his inlaws, Travis called Jeremy and said "man, I'd rather be Blowing the Goat