The immortal works of William Shakespeare are rife with romance, tragedy, gorgeous language … and characters getting absolutely soused. The touring troupe Shit-Faced Shakespeare takes that instruction literally; each night, one cast member is selected at random to perform their free-flowing, improvisational take on “Hamlet” while solidly under the influence. (Trust me: You shouldn’t try to keep up with them.) An abbreviated visit with Denmark’s mopey prince is set for three shows at Downtown’s Greer Cabaret Theater.