Well we managed to get a hold of some very good stage blood. My classmate who played Titus managed to make a fake hand out of several surgical gloves and rigged up a release mechanism so that the blood would pour out when we "cut" it. (or rather I cut it. I played Aaron) He hid it in his coat sleeve.
It's an early revenge tragedy of Shakespeare's; a lot of scholars wonder if it's perhaps the first tragedy Shakespeare wrote. It's not Hamlet, but it's really very interesting. And bloody, very bloody. My professor introduced it to me for a staging-problem project.
No actually the Blackfriars is in Staunton, VA. It's the only recreation of the Blackfriars theatre of Shakespeare's time and they practice original (or as close to original as we can get) staging practices.