I just got off the phone with The Local Butcher in Berkeley and ordered a couple of beef cheeks. They'll call me when they're ready and I'll check back here when I get 'em. It'll be a while as, believe it or not, there's a waiting list for them and now I'm in the queue. Thanks for everyone's input. I'm excited to try them.
I the mean time, I'll try some more common cuts just to get a feel for making the dish and decide upon what pepper variety to use.