This is a specialty of the Mexican state of Sonora, and it's basically a clear pozole with beans added. See the headnotes for tips and tricks on making this a special Sunday dinner.
1pounddried pozole corn, or 2 pounds canned hominy
Salt
3poundsvenison neck,or shoulder or shank, or oxtail or beef stew meat
1white onion, quartered
6clovesgarlic, unpeeled
2quartsvenison broth or beef stock
2quartswater
1pounddried pinto or tepary beans,or 2 pounds canned
3 to 5green Hatch or Anaheim chiles,roasted, seeded and chopped coarsely
1/2cupchopped cilantro,for garnish
1/4cuplime juice
1/2white onion, minced
Dried chiltepin chiles, to taste
Instructions
This assumes you've nixtamalized your corn the previous evening, if not, instructions to do so are here. If you are using canned hominy, simply remove it from the can and rinse well. Hold off on it for now.
If you are smoking your meat before starting the stew, again, I advise doing this the day before, but regardless, you will want to salt the meat well, then smoke it over low heat, about 200°F, for about 3 hours. The goal is just to get it a little smoky. You will definitely need to cut it into hunks small enough to fit into your soup pot.
When you are ready to start the stew, char the cut sides of the quartered onion and the unpeeled garlic cloves on a comal, griddle or cast iron pan until well charred. Peel the garlic, then chop it and the onion small. Add this to a large soup pot.
Add the corn and meat and cover with the stock and the water. Bring to a boil, then drop to a gentle simmer. Cook gently, with the pot mostly covered, until the meat wants to fall off the bone, which should take a couple hours.
About 2 hours into the cooking time, add the dried beans. You'll likely need another hour of gentle simmering. If you are using canned hominy, now is the time to add it. This is the time to soak the chopped white onion in the lime juice, along with a little salt, in a bowl.
Once the meat, corn and beans are nicely cooked, add the chopped roasted green chiles. Fish out the meat and discard the bones. Chop the meat against the grain so there are no long strings of meat. Return it all to the pot.
Serve topped with cilantro, the lime-soaked onion and some hot chiles.
Notes
Note that the prep time and cook time don't include smoking the meat or nixtamalizing the corn, which are added options.
Keys to Success
To make this the best it can be, do start with dried corn and do smoke your meat. Both steps can be skipped, but your gallina pinta won't be as good.
Resist the urge to add more stuff to the stew. It should be simple.
Rinse your canned hominy and beans if that's the route you're going. It will make the stew taste cleaner.
As with most stews, this one is better the day or two after it's made. It freezes OK, and can be pressure canned, although doing so will be tricky because you won't want the beans or the corn to be fully cooked when you do.