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I think true barbacoa is done by cooking a cow head in a hole in the ground. It's on my bucket list of things to do as soon as I can find someone to dig a hole big enough in my back yard. LOL
I don't think a cow head would even fit in a MES, maybe if you split it. Sure sounds interesting, make sure to post a thread if you decide to give it a try I'd like to see it.
The one I saw was on a hunting show from south Texas. They dug a big round hole in the ground and built a fire in it.
When the fire was down to coals they used a full cow head wrapped in foil. Lowered it into the hole and covered the hole with a piece of metal barn siding then covered it with dirt. I think they cooked it all day like that. Looked pretty good when they pulled the head out and shredder up the cheek meat.